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Journal articles on the topic 'Fully Fuzzy Number'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

R., Sophia Porchelvi, Uma S., and Irene Hepzibah R. "ON SOLVING FULLY FUZZY MULTI-OBJECTIVE LINEAR PROGRAMMING PROBLEM BY USING SYMMETRIC TRAPEZOIDAL FUZZY NUMBERS." International Journal of Current Research and Modern Education, Special Issue (August 14, 2017): 65–69. https://doi.org/10.5281/zenodo.842838.

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In this paper, a new approach for solving fully fuzzy multi-objective linear programming problem (FFMLPP) by using symmetric trapezoidal fuzzy numbers. Fuzzy arithmetic operations and simplex algorithm is proposed for solving fully fuzzy multi-objective linear programming problem with parameters represented by symmetric trapezoidal fuzzy numbers without converting it to crisp numbers. Using the proposed method the fuzzy optimal solution of fully fuzzy multi-objective linear programming problem can be easily obtained. Finally a numerical example is provided to check the efficiency of the propos

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Van Hop, Nguyen. "Solving fully fuzzy multi-objective linear programming problem with fuzzy dominant degrees." Journal of Intelligent & Fuzzy Systems 39, no. 3 (2020): 3577–95. http://dx.doi.org/10.3233/jifs-191888.

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In this paper, we investigate all relative relationships between two fuzzy numbers. Then, we introduce new relative measures to compare two fuzzy numbers instead of using absolute value to represent the fuzzy number. These measures address the dominant level that one fuzzy number is better than the other in terms of its position and shape. The so-called absolute fuzzy dominant degree and relative fuzzy dominant degree are developed to measure the differences between two fuzzy numbers applying for different types of constraint. These measures could capture all the shape’s characteristics and re

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Malkawi, G., N. Ahmad, and H. Ibrahim. "SOLVING THE FULLY FUZZY SYLVESTER MATRIX EQUATION WITH TRIANGULAR FUZZY NUMBER." Far East Journal of Mathematical Sciences (FJMS) 98, no. 1 (2015): 37–55. http://dx.doi.org/10.17654/fjmssep2015_037_055.

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Mehmood, Muhammad Athar, Muhammad Akram, Majed G. Alharbi, and Shahida Bashir. "Solution of Fully Bipolar Fuzzy Linear Programming Models." Mathematical Problems in Engineering 2021 (April 22, 2021): 1–31. http://dx.doi.org/10.1155/2021/9961891.

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The Yin-Yang bipolar fuzzy set is a powerful mathematical tool for depicting fuzziness and vagueness. We first extend the concept of crisp linear programming problem in a bipolar fuzzy environment based on bipolar fuzzy numbers. We first define arithmetic operations of unrestricted bipolar fuzzy numbers and multiplication of an unrestricted trapezoidal bipolar fuzzy number (TrBFN) with non-negative TrBFN. We then propose a method for solving fully bipolar fuzzy linear programming problems (FBFLPPs) with equality constraints in which the coefficients are unrestricted triangular bipolar fuzzy nu

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Fatimatuzzahra, Fatimatuzzahra, Aang Nuryaman, La Zakaria, and Agus Sutrisno. "SOLUTION OF FULLY FUZZY NONLINEAR EQUATION SYSTEMS USING GENETIC ALGORITHM." BAREKENG: Jurnal Ilmu Matematika dan Terapan 19, no. 2 (2025): 1169–78. https://doi.org/10.30598/barekengvol19iss2pp1169-1178.

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A system of nonlinear equations is a collection of several interrelated non-linear equations. Currently, systems of nonlinear equations are used not only on crisp but also on fuzzy numbers. A fuzzy number is an ordered pair function that has a degree of membership [0,1]. Meanwhile, a fully fuzzy system of equations is a system of equations that applies fuzzy number arithmetic operations. The solution of non-linear equation systems is usually complicated to solve analytically, so numerical methods are used as an alternative to solve these problems. In this research, the steps to find the soluti

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Das, Krishnapada. "On Fully Fuzzy Linear Programming Problems." International Journal of Science and Social Science Research 2, no. 3 (2024): 72–76. https://doi.org/10.5281/zenodo.14010593.

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The fuzzy linear programming problem has been used as an important tool in different disciplines such as engineering, business, economics, commerce, defence etc. Fully Fuzzy Linear Programming Problems (FFLP) are those in which all the parameters that is the cost coefficients, the technological coefficients, the right-hand side of the constraints, and the decision variable are fuzzy numbers. Ezzati et al. [1] suggested an algorithm to solve fully fuzzy linear programming problems. In this paper, we propose two methods to find the optimal solution of fully fuzzy linear programming pro

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Akram, Muhammad, Inayat Ullah, Tofigh Allahviranloo, and S. A. Edalatpanah. "LR-type fully Pythagorean fuzzy linear programming problems with equality constraints." Journal of Intelligent & Fuzzy Systems 41, no. 1 (2021): 1975–92. http://dx.doi.org/10.3233/jifs-210655.

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A Pythagorean fuzzy set is a powerful model for depicting fuzziness and uncertainty. This model is more flexible and practical as compared to an intuitionistic fuzzy model. This research article presents a new model called LR-type fully Pythagorean fuzzy linear programming problem. We consider the notions of LR-type Pythagorean fuzzy number, ranking for LR-type Pythagorean fuzzy numbers and arithmetic operations for unrestricted LR-type Pythagorean fuzzy numbers. We propose a method to solve LR-type fully Pythagorean fuzzy linear programming problems with equality constraints. We describe our

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JayanthKarthik, N., and E. Chandrasekaran. "Solving Fully Fuzzy Linear Systems with Trapezoidal Fuzzy Number Matrices by Partitioning." International Journal of Computer Applications 64, no. 9 (2013): 35–38. http://dx.doi.org/10.5120/10665-5438.

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Ren, Aihong. "A Novel Method for Solving the Fully Fuzzy Bilevel Linear Programming Problem." Mathematical Problems in Engineering 2015 (2015): 1–11. http://dx.doi.org/10.1155/2015/280380.

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We address a fully fuzzy bilevel linear programming problem in which all the coefficients and variables of both objective functions and constraints are expressed as fuzzy numbers. This paper is to develop a new method to deal with the fully fuzzy bilevel linear programming problem by applying interval programming method. To this end, we first discretize membership grade of fuzzy coefficients and fuzzy decision variables of the problem into a finite number ofα-level sets. By usingα-level sets of fuzzy numbers, the fully fuzzy bilevel linear programming problem is transformed into an interval bi

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Ghoushchi, Saeid Jafarzadeh, Elnaz Osgooei, Gholamreza Haseli, and Hana Tomaskova. "A Novel Approach to Solve Fully Fuzzy Linear Programming Problems with Modified Triangular Fuzzy Numbers." Mathematics 9, no. 22 (2021): 2937. http://dx.doi.org/10.3390/math9222937.

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Recently, new methods have been recommended to solve fully fuzzy linear programming (FFLP) issues. Likewise, the present study examines a new approach to solve FFLP issues through fuzzy decision parameters and variables using triangular fuzzy numbers. The strategy, which is based on alpha-cut theory and modified triangular fuzzy numbers, is suggested to obtain the optimal fully fuzzy solution for real-world problems. In this method, the problem is considered as a fully fuzzy problem and then is solved by applying the new definition presented for the triangular fuzzy number to optimize decision

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Babakordi, F. "Arithmetic Operations on Generalized Trapezoidal Hesitant Fuzzy Numbers and Their Application to Solving Generalized Trapezoidal Hesitant Fully Fuzzy Equation." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 32, no. 01 (2024): 85–108. http://dx.doi.org/10.1142/s0218488524500041.

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Algebraic operations on generalized hesitant fuzzy numbers are key tools to address the problems with decision uncertainty. In this paper, by studying the arithmetic operations on generalized trapezoidal hesitant fuzzy numbers, modified arithmetic operations are introduced for this class of numbers so that, using these arithmetic operations, the multiplication and division of two generalized trapezoidal hesitant fuzzy numbers are always generalized trapezoidal hesitant fuzzy numbers. Furthermore, a generalized trapezoidal hesitant fuzzy number raised to the power of a real number is a generali

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Jain, Chhavi, Rajesh Kumar Saini, Atul Sangal, and Manisha. "Fully Fuzzy Distribution Planning Problem by Using Interval-Valued Bipolar Trapezoidal Fuzzy Number." HyperSoft Set Methods in Engineering 1 (March 16, 2024): 95–108. http://dx.doi.org/10.61356/j.hsse.2024.17750.

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Distribution planning (DP) is a process in which we study the way to get materials and distribute the product from the delivery point to the consuming point after production planning in the supply chain. The limits of possible creation in a model are stock holding, deferred buying, and transportation costs while thinking about the time value of money. Since uncertainty is an undeniable issue in any evident creation framework, fuzzy sets (FS) have been applied in the proposed mathematical modeling. During the COVID-19 pandemic, to maintain physical distance among humans, used & unused equip

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Admasu Tadesse, Sirkumar Acharya, and Berhanu Belay. "Fuzzy Programming Approach to Solve Multi-Objective Fully Fuzzy Transportation Problem." East African Journal of Biophysical and Computational Sciences 4, no. 2 (2023): 43–53. http://dx.doi.org/10.4314/eajbcs.v4i2.4s.

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The aim of this study is presenting the solution methodology of multi-objective fuzzy transportation problem with fuzzy decision variables, where all the input parameters and decisions variables of the programming problems are assumed to be triangular fuzzy number and triangular fuzzy decision variables respectively. Moreover the objectives under considerations are minimization of cost of transportation and minimization of shipping time under fuzzy environment. The fuzziness of the objective functions and the fuzzy constraints of the programming problem are defuzzified using the ranking functi

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Chakraborty, Dipankar, Dipak Kumar Jana, and Tapan Kumar Roy. "A new approach to solve fully fuzzy transportation problem using triangular fuzzy number." International Journal of Operational Research 26, no. 2 (2016): 153. http://dx.doi.org/10.1504/ijor.2016.076299.

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V.Vijayalakshmi, Surabhi S., and A.Karpagam. "Fully Fuzzy Linear Systems in Python Programming." International Journal of Engineering and Advanced Technology (IJEAT) 9, no. 4 (2020): 951–56. https://doi.org/10.35940/ijeat.D7580.049420.

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This paper proposes the python coding for ST decomposition for Triangular, Trapezoidal, and computing the algorithms for the fully fuzzy linear system in python programming. where is a fuzzy matrix, are fuzzy vectors. ST decompose into a product of symmetric matrix (S) and triangular matrix (T) in the form of triangular and trapezoidal fuzzy number matrices. To best illustrate the proposed methods by python coding algorithm with a new approach Python coding has been adopted. Algorithms have been introduced and the numerical examples have been solved by using python techniques. A study of ST de

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Beaula, Thangaraj, and L.Mohan. "Cholesky Decomposition Method for Solving Fully Fuzzy Linear System of Equations with Trapezoidal Fuzzy Number." International Journal of Fuzzy Mathematical Archive 14, no. 02 (2017): 261–65. http://dx.doi.org/10.22457/ijfma.v14n2a10.

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Nayagam, V. Lakshmana Gomathi, and Jagadeeswari Murugan. "Hexagonal fuzzy approximation of fuzzy numbers and its applications in MCDM." Complex & Intelligent Systems 7, no. 3 (2021): 1459–87. http://dx.doi.org/10.1007/s40747-020-00242-4.

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AbstractNumerous research papers and several engineering applications have proved that the fuzzy set theory is an intelligent effective tool to represent complex uncertain information. In fuzzy multi-criteria decision-making (fuzzy MCDM) methods, intelligent information system and fuzzy control-theoretic models, complex qualitative information are extracted from expert’s knowledge as linguistic variables and are modeled by linear/non-linear fuzzy numbers. In numerical computations and experiments, the information/data are fitted by nonlinear functions for better accuracy which may be little ha

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Archana, D. "Fuzzy Linear Fractional Programming Problem Using Trapezoidal Fuzzy Numbers." International Journal for Research in Applied Science and Engineering Technology 13, no. 3 (2025): 3483–88. https://doi.org/10.22214/ijraset.2025.67956.

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Abstract: In order to solve Fully Fuzzy Linear Fractional Programming Problems (FFLFPP) with trapezoidal fuzzy integers as the objective function and constraints, this study aims to develop a novel trapezoidal fuzzy number ranking function. The simplex method and crisp linear fractional programming serve as the foundation for the suggested approach. With the aid of a recently proposed ranking function, we first converted FFLFPP into a Crisp Linear Programming Problem. The resulting problem was then transformed into LPP. The suggested method is demonstrated using a numerical example.

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A, Venkatesan, and Virginraj A. "Algorithm for Fully Fuzzy Linear System with Hexegonal Fuzzy Number Matrix by Singular Value Decomposition." INTERNATIONAL JOURNAL OF COMPUTING ALGORITHM 3, no. 3 (2014): 218–22. http://dx.doi.org/10.20894/ijcoa.101.003.003.012.

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Alrefaei, Mahmoud H., and Marwa Z. Tuffaha. "Fuzzy linear programming with the intuitionistic polygonal fuzzy numbers." International Journal of Electrical and Computer Engineering (IJECE) 14, no. 2 (2024): 2242–53. https://doi.org/10.11591/ijece.v14i2.pp2242-2253.

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In real world applications, data are subject to ambiguity due to several factors; fuzzy sets and fuzzy numbers propose a great tool to model such ambiguity. In case of hesitation, the complement of a membership value in fuzzy numbers can be different from the non-membership value, in which case we can model using intuitionistic fuzzy numbers as they provide flexibility by defining both a membership and a non-membership functions. In this article, we consider the intuitionistic fuzzy linear programming problem with intuitionistic polygonal fuzzy numbers, which is a generalization of the previou

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Mashadi, Yuliana Safitri, Sukono, Igif Gimin Prihanto, Muhamad Deni Johansyah, and Moch Panji Agung Saputra. "The Inverse and General Inverse of Trapezoidal Fuzzy Numbers with Modified Elementary Row Operations." Mathematics 12, no. 7 (2024): 946. http://dx.doi.org/10.3390/math12070946.

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Trapezoidal positive/negative fuzzy numbers have no single definition; instead, various authors define them in relation to different concepts. This means that arithmetic operations for trapezoidal fuzzy numbers also differ. For the operations of addition, subtraction, and scalar multiplication, there are not many differences; for multiplication, however, there are many differences. In general, multiplication is divided into various cases. For the inverse operation, there is not much to define; in general, for any trapezoidal fuzzy number u~, u~⊗1u~=i~=(1,1,0,0) does not necessarily apply. As a

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Piegat, Andrzej, and Marcin Pluciński. "Fuzzy Number Addition with the Application of Horizontal Membership Functions." Scientific World Journal 2015 (2015): 1–16. http://dx.doi.org/10.1155/2015/367214.

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The paper presents addition of fuzzy numbers realised with the application of the multidimensional RDM arithmetic and horizontal membership functions (MFs). Fuzzy arithmetic (FA) is a very difficult task because operations should be performed here on multidimensional information granules. Instead, a lot of FA methods useα-cuts in connection with 1-dimensional classical interval arithmetic that operates not on multidimensional granules but on 1-dimensional intervals. Such approach causes difficulties in calculations and is a reason for arithmetical paradoxes. The multidimensional approach allow

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Nuryaman, Aang, Fatimatuzzahra, Rafiq Arssy Arifa, La Zakaria, and Muhammad Ahsar Karim. "Numerical Solution of Dual Fully Fuzzy Equations System Using Some Meta Heuristic Methods." International Journal of Mathematical, Engineering and Management Sciences 10, no. 5 (2025): 1351–64. https://doi.org/10.33889/ijmems.2025.10.5.064.

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Nowadays, there is more and more attention from researchers in solving various problems in the applied field of fuzzy equations, one of which is the fluid mechanics problem of reservoir piping. In this article, we investigate a solution to a dual fully fuzzy equations system involving triangular and trapezoidal fuzzy numbers using a numerical approach, especially meta-heuristic methods. We consider the equations system in crisp equations form as an optimization problem, and then its problems are solved. Here we compare the performance of four meta-heuristic methods, i.e., genetic algorithm (GA

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Kumar, P. Senthil. "PSK Method for Solving Mixed and Type-4 Intuitionistic Fuzzy Solid Transportation Problems." International Journal of Operations Research and Information Systems 10, no. 2 (2019): 20–53. http://dx.doi.org/10.4018/ijoris.2019040102.

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In this article, the author categorises the solid transportation problem (STP) under uncertain environments. He formulates the mixed and fully intuitionistic fuzzy solid transportation problems (FIFSTPs) and utilizes the triangular intuitionistic fuzzy number (TIFN) to deal with uncertainty and hesitation. The PSK (P. Senthil Kumar) method for finding an intuitionistic fuzzy optimal solution for fully intuitionistic fuzzy transportation problem (FIFTP) is extended to solve the mixed and type-4 IFSTP and the optimal objective value of mixed and type-4 IFSTP is obtained in terms of triangular in

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Bagheri, M., A. Ebrahimnejad, S. Razavyan, F. Hosseinzadeh Lotfi, and N. Malekmohammadi. "Solving the fully fuzzy multi-objective transportation problem based on the common set of weights in DEA." Journal of Intelligent & Fuzzy Systems 39, no. 3 (2020): 3099–124. http://dx.doi.org/10.3233/jifs-191560.

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A transportation problem basically deals with the problem which aims to minimize the total transportation cost or maximize the total transportation profit of distributing a product from a number of sources or origins to a number of destinations. While, in general, most of the real life applications are modeled as a transportation problem (TP) with the multiple, conflicting and incommensurate objective functions. On the other hand, for some reason such as shortage of information, insufficient data or lack of evidence, the data of the mentioned problem are not always exact but can be fuzzy. This

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Md., Rukonuzzaman, and Rahman Khan Aminur. "An Inventory Management Framework Designed for Deteriorating Items with Time Sensitive Demand and Shortages under All Unit Price Discount Policy Incorporating a Fuzzy Approach." International Journal of Innovative Science and Research Technology (IJISRT) 9, no. 2 (2024): 27. https://doi.org/10.5281/zenodo.10731514.

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The conventional inventory model, known as the crisp inventory model, assumes that parameters have precise and certain values. However, in real-world scenarios, it is observed that uncertainties or imprecisions in the environment prevent the exact definition of all parameters. To address this uncertainty,  fuzzy set theory may be applied, providing decision- makers with mathematical tools to formulate inventory  models that reflect real-world conditions. This study explores two inventory models: a traditional crisp model and its corresponding fuzzy counterpart. The focus is on  

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Sharma, Uday, and Shashi Aggarwal. "Solving Fully Fuzzy Multi-objective Linear Programming Problem Using Nearest Interval Approximation of Fuzzy Number and Interval Programming." International Journal of Fuzzy Systems 20, no. 2 (2017): 488–99. http://dx.doi.org/10.1007/s40815-017-0336-8.

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Rani, Namrata, Vandana Goyal, and Deepak Gupta. "On Solving Bi-level Multi-Objective Fully Quadratic Fractional Optimization Model with Fuzzy Demands." International Journal of Mathematical, Engineering and Management Sciences 6, no. 6 (2021): 1612–28. http://dx.doi.org/10.33889/ijmems.2021.6.6.096.

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This paper has been designed to introduce the method for solving the Bi-level Multi-objective (BL-MO) Fully Quadratic Fractional Optimization Model through Fuzzy Goal Programming (FGP) approach by utilising non-linear programming. In Fully Quadratic Fractional Optimization Model, the objective functions are in fractional form, having quadratic functions in both numerator and denominator subject to quadratic constraints set. The motive behind this paper is to provide a solution to solve the BL-MO optimization model in which number of decision-makers (DM) exists at two levels in the hierarchy. F

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Uehara, Kiyohiko, and Kaoru Hirota. "Multi-Level Control of Fuzzy-Constraint Propagation in Inference with Fuzzy Rule Interpolation at an Infinite Number of Activating Points." Journal of Advanced Computational Intelligence and Intelligent Informatics 21, no. 3 (2017): 425–47. http://dx.doi.org/10.20965/jaciii.2017.p0425.

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An inference method is proposed, which can control the degree to which the fuzzy constraints of given facts are propagated to those of consequences via the nonlinear mapping represented by fuzzy rules. The conventional method, α-GEMST (α-level-set and generalized-mean-based inference in synergy with composition via linguistic-truth-value control), has limitations in the control of the propagation degree. In contrast, the proposed method can fully control the fuzzy-constraint propagation to a different degree with each fuzzy rule. After the nonlinear mapping, the proposed method performs fuzzy-

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Allahviranloo, T., and L. Gerami Moazam. "The Solution of Fully Fuzzy Quadratic Equation Based on Optimization Theory." Scientific World Journal 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/156203.

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Firstly in this paper we introduce a new concept of the 2nd power of a fuzzy number. It is exponent to production (EP) method that provides an analytical and approximate solution for fully fuzzy quadratic equation (FFQE) :F(X̃)=D̃, whereF(X̃)=ÃX̃2+B̃X̃+C̃. To use the mentioned EP method, at first the 1-cut solution of FFQE as a real root is obtained and then unknown manipulated unsymmetrical spreads are allocated to the core point. To this purpose we findλandμas optimum values which construct the best spreads. Finally to illustrate easy application and rich behavior of EP method, several exam

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Pérez-Cañedo, Boris, José Luis Verdegay та Eduardo René Concepción-Morales. "An ε-Constraint Method for Multiobjective Linear Programming in Intuitionistic Fuzzy Environment". International Journal of Intelligent Systems 2023 (12 квітня 2023): 1–14. http://dx.doi.org/10.1155/2023/9677396.

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Effective decision-making requires well-founded optimization models and algorithms tolerant of real-world uncertainties. In the mid-1980s, intuitionistic fuzzy set theory emerged as another mathematical framework to deal with the uncertainty of subjective judgments and allowed to represent hesitancy in a decision-making problem. Nowadays, intuitionistic fuzzy multiobjective linear programming (IFMOLP) problems are a topic of extensive research, for which a considerable number of solution approaches are being developed. Among the available solution approaches, ranking function-based approaches

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Rajput, Neelanjana, Anand Chauhan, Abhinav Goel, and Dig Tanwar. "FEOQ model with octagonal fuzzy demand rate and optimize with signed distance method." Yugoslav Journal of Operations Research 32, no. 4 (2022): 471–81. http://dx.doi.org/10.2298/yjor220317022c.

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Uncertainties in the stock control system development is one of the main concerns of researchers, several studies has been done in this research field with different fuzzy numbers by using different defuzzification methods. In this present article, at first, we have studied the scenario of increasing demand rate with the time and shortage are fully backlogged. Due to some reasons, there is flexible(uncertain) demand rate for the production, so the demand rate has to be taken as octagonal fuzzy number and the model converted into fuzzy model. The purpose of presented model is to optimize the to

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Kumar, P. Senthil. "PSK Method for Solving Intuitionistic Fuzzy Solid Transportation Problems." International Journal of Fuzzy System Applications 7, no. 4 (2018): 62–99. http://dx.doi.org/10.4018/ijfsa.2018100104.

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This article proposes a method for solving intuitionistic fuzzy solid transportation problems (IFSTPs) in which only the transportation costs are represented in terms of intuitionistic fuzzy numbers (IFNs). The remaining parameters, namely: supply, demand and conveyance capacity, are all considered into crisp numbers. This type of STP is called a type-2 IFSTP. When solving the real life solid transportation problems (STPs) those tend to face the uncertainty state as well as hesitation due to many uncontrollable factors. To deal with uncertainty and hesitation many authors have suggested the in

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Alshammari, Mohammad, Mohammed Al-Smadi, Omar Abu Arqub, Ishak Hashim, and Mohd Almie Alias. "Residual Series Representation Algorithm for Solving Fuzzy Duffing Oscillator Equations." Symmetry 12, no. 4 (2020): 572. http://dx.doi.org/10.3390/sym12040572.

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The mathematical structure of some natural phenomena of nonlinear physical and engineering systems can be described by a combination of fuzzy differential equations that often behave in a way that cannot be fully understood. In this work, an accurate numeric-analytic algorithm is proposed, based upon the use of the residual power series, to investigate the fuzzy approximate solution for a nonlinear fuzzy Duffing oscillator, along with suitable uncertain guesses under strongly generalized differentiability. The proposed approach optimizes the approximate solution by minimizing a residual functi

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Aylı, Ece. "Modeling of mixed convection in an enclosure using multiple regression, artificial neural network, and adaptive neuro-fuzzy interface system models." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 15 (2020): 3078–93. http://dx.doi.org/10.1177/0954406220914330.

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In this study, the heat transfer characteristics of laminar combined forced convection through a horizontal duct are obtained with the help of the numerical methods. The effect of the geometrical parameters of the cavity and Reynolds number on the heat transfer is investigated. New heat transfer correlation for hydrodynamically fully developed, laminar combined forced convection through a horizontal duct is proposed with an average error of 6.98% and R2 of 0.8625. The obtained correlation results are compared with the artificial neural network and adaptive neuro-fuzzy interface system models.

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Karimi, Hossein, Mohsen Sadeghi-Dastaki, and Majid Javan. "A fully fuzzy best–worst multi attribute decision making method with triangular fuzzy number: A case study of maintenance assessment in the hospitals." Applied Soft Computing 86 (January 2020): 105882. http://dx.doi.org/10.1016/j.asoc.2019.105882.

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Yu, Dan, Yi Hu Wu, Zhi Xiang Hou, Wen Jun Liu, and Ji Guang Zhang. "AHP to Appraise the Traffic Safety of the Express Way." Applied Mechanics and Materials 48-49 (February 2011): 157–63. http://dx.doi.org/10.4028/www.scientific.net/amm.48-49.157.

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The internal structure of the road safety system is extremely complex and it is affected by a lot of factors, each factor weights can not be fully established. In this article, we expressed the attribute value with a fuzzy interval number, the comprehensive appraise to the impact of traffic safety with emphasis on "people", "car" "road" in the "road". First of all, establishing evaluation index system, and form the judging matrix by AHP; then, it can be acquired a method of traffic safety evaluation by using the comprehensive evaluation model of the fuzzy interval.

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Du, Xiuli, Kun Lu, Rui Zhou, Yana Lv, and Shaoming Qiu. "A Weighting Method Based on the Improved Hesitation of Pythagorean Fuzzy Sets." Electronics 12, no. 13 (2023): 3001. http://dx.doi.org/10.3390/electronics12133001.

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The existing expert weight determination method for multi-attribute decision making based on the Pythagorean fuzzy number approach does not make sufficient use of the hesitation involved with the decision information, which may cause biased weight assignment. Therefore, to address the issue of unknown expert weights and attribute evaluation based on Pythagorean fuzzy numbers in multi-attribute group decision-making problems, a weight determination method is proposed that improves the treatment of hesitation in Pythagorean fuzzy sets. Firstly, the proximity of experts and similarity of the modi

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Brouwer, Roelof K. "A Solution Method for Truncated Normalized Max Product Fuzzy Set of Equations." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 11, no. 03 (2003): 361–72. http://dx.doi.org/10.1142/s0218488503002120.

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An iterative method of solving a set of equations based on the truncated normalized max product is described. The operation may serve as the transformation for the set of fully connected units in a fully recurrent network that might otherwise consist of linear threshold units. Because of truncation and normalization the network acting under this transformation has a finite number of states and components of the state vector are bounded. Component values however are not restricted to binary values as would be the case if the network consisted of linear threshold units but can now take on the va

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Mo, Hongming. "A New Evaluation Methodology for Quality Goals Extended by D Number Theory and FAHP." Information 11, no. 4 (2020): 206. http://dx.doi.org/10.3390/info11040206.

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Evaluation of quality goals is an important issue in process management, which essentially is a multi-attribute decision-making (MADM) problem. The process of assessment inevitably involves uncertain information. The two crucial points in an MADM problem are to obtain weight of attributes and to handle uncertain information. D number theory is a new mathematical tool to deal with uncertain information, which is an extension of evidence theory. The fuzzy analytic hierarchy process (FAHP) provides a hierarchical way to model MADM problems, and the comparison analysis among attributes is applied

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Xiao, Jie, Bohdan T. Kulakowski, and Moustafa EI-Gindy. "Prediction of Risk of Wet-Pavement Accidents: Fuzzy Logic Model." Transportation Research Record: Journal of the Transportation Research Board 1717, no. 1 (2000): 28–36. http://dx.doi.org/10.3141/1717-05.

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Researchers developed a fuzzy-logic model for predicting the risk of accidents that occur on wet pavements. Preventing wet-pavement accidents has been an extremely difficult and elusive task because they are stochastic events whose occurrence is related to a variety of factors, including vehicle, roadway, human, and environmental characteristics. Conventionally, researchers use linear or nonlinear regression models and probabilistic models to predict wet-pavement accidents. However, these models often are limited in their capability to fully explain the process when the underlying physical sys

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Tope, Femi Okuntade. "Managing Construction Uncertainty In The Nigerian Construction Industry Through The Application Of Fuzzy Logic Model." International Journal of Business, Economics and Management Works 2, no. 5 (2015): 31–36. https://doi.org/10.5281/zenodo.17712.

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Delays in construction projects can be due to a number of factors, which need to be classified and identified. For the success of a construction project, estimation of the plausibility of delay resulting from different factors must be carried out or fully investigated. This research is the extension of delay analysis techniques by using fuzzy logic method. The paper presents a practical application of fuzzy logic theory in predicting construction project delay using Fuzzy toolbox of MATLAB Program Software, the delay factors are identified based on literature review from other studies and opin

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Fayaz, Muhammad, Shabir Ahmad, Lei Hang, and DoHyeun Kim. "Water Supply Pipeline Risk Index Assessment Based on Cohesive Hierarchical Fuzzy Inference System." Processes 7, no. 4 (2019): 182. http://dx.doi.org/10.3390/pr7040182.

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As populations grow, facilities such as roads, bridges, railways lines, commercial and residential buildings, etc., must be expanded and maintained. There are extensive networks of underground facilities to fulfil the demand, such as water supply pipelines, sewage pipelines, metro structures, etc. Hence, a method to regularly assesses the risk of the underground facility failures is needed to decrease the chance of accidental loss of service or accidents that endanger people and facilities. In the proposed work, a cohesive hierarchical fuzzy inference system (CHFIS) was developed. A novel meth

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Kousar, Sajida, Urooj Shafqat, Nasreen Kausar, Dragan Pamucar, Yeliz Karaca, and Mohammed Abdullah Salman. "Sustainable Energy Consumption Model for Textile Industry Using Fully Intuitionistic Fuzzy Optimization Approach." Computational Intelligence and Neuroscience 2022 (August 17, 2022): 1–12. http://dx.doi.org/10.1155/2022/5724825.

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Consumption of renewable energy is on the rise because new technologies have made it cheaper and easier to meet the needs of a long-term energy source. In the present study, the idea of optimal usage of sustainable energy is discussed, taking into consideration the environmental and economic conditions that exist in Pakistan’s textile manufacturing industry. By taking into account the regional potential for the application of renewable energy resources, solar energy generators are taken into consideration, and a fully intuitionistic fuzzy (FIF) textile energy model is constructed. Using the FI

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Makhortov, S. D. "Methods for Solving Production-Logical Equations in a Fuzzy LP-Structure." Programmnaya Ingeneria 11, no. 6 (2020): 342–48. http://dx.doi.org/10.17587/prin.11.342-348.

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Algebraic methods provide an effective formalism for constructing and researching models of a wide range of information systems, especially intelligent ones. This provision fully applies to the production-type logical systems widespread in computer science. In the last decade, the author has created an algebraic theory of LP-structures (lattice production structures), which makes it possible to effectively solve a number of important problems related to production systems. Such tasks include equivalent transformations, verification, minimization of knowledge bases, and acceleration of logical

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Zhu, Aihua, Zhiqing Meng, and Rui Shen. "Research on Fuzzy Temporal Event Association Mining Model and Algorithm." Axioms 12, no. 2 (2023): 117. http://dx.doi.org/10.3390/axioms12020117.

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As traditional models and algorithms are less effective in dealing with complex and irregular temporal data streams, this work proposed a fuzzy temporal association model as well as an algorithm. The core idea is to granulate and fuzzify information from both the attribute state dimension and the temporal dimension. After restructuring temporal data and extracting fuzzy features out of information, a fuzzy temporal event association rule mining model as well as an algorithm was constructed. The proposed algorithm can fully extract the data features at each granularity level while preserving th

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Li, Weiming, and Jun Ye. "MAGDM Model Using an Intuitionistic Fuzzy Matrix Energy Method and Its Application in the Selection Issue of Hospital Locations." Axioms 12, no. 8 (2023): 766. http://dx.doi.org/10.3390/axioms12080766.

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Matrix energy is a valid mathematical tool for representing collective information. However, it is not used in the existing literature for fuzzy sets, intuitionistic fuzzy sets, and multi-attribute group decision making (MAGDM) problems, which highlights research gaps. Motivated by both matrix energy and the research gaps, this study aims to extend matrix energy to the energy of an intuitionistic fuzzy matrix (IFM) and to utilize the IFM energy method in the MAGDM problem, which fully contains all the IFM information on attribute weights, decision maker weights, and attribute values. To achiev

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Пыряев, В. В. "Establishing the competitiveness of a product based on consumer value using methods of paired comparisons, convolution 685 and hierarchy analysis adapted to the application." Экономика и предпринимательство, no. 2(139) (May 15, 2022): 685–91. http://dx.doi.org/10.34925/eip.2022.139.2.129.

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Установлено, что используемый инструментарий при оценке конкурентоспособно сти товара не учитывает его потребительскую ценность и в не полной мере отражает учет нечет кой и количественной информации. Разработан и описан процесс установления конкурентоспособно сти товара путем максимизации числа критериальных преимуществ на основе методов теории не четких множеств и иерархий. It is established that the tools used in assessing the competitiveness of a product does not take into account its consumer value and does not fully reflect the accounting of fuzzy and quantitative information. The process

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Tian, Tian, Gang Li, Yuzhi Li, Ning Li, and Hongfei Bai. "Trajectory Tracking Control Study of Unmanned Fully Line-Controlled Distributed Drive Electric Vehicles." Applied Sciences 13, no. 11 (2023): 6465. http://dx.doi.org/10.3390/app13116465.

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Unmanned fully line-controlled distributed drive electric vehicles with four-wheel independent drive, dependent braking and dependent steering have significant advantages over conventional vehicles in terms of dynamic control, but at the same time multiple actuators with multiple degrees of freedom also pose the risk of failure in the steering system, which is studied in this paper for trajectory tracking control. Rational control of multiple systems such as drive, braking, steering and fault tolerance of the unmanned fully line-controlled distributed drive electric vehicles are carried out. F

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Almotairi, Sultan, Elsayed Badr, M. Elsisy, F. Farahat, and M. El Sayed. "Performance Analysis of Fully Intuitionistic Fuzzy Multi-Objective Multi-Item Solid Fractional Transportation Model." Fractal and Fractional 8, no. 7 (2024): 404. http://dx.doi.org/10.3390/fractalfract8070404.

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An investigation is conducted in this paper into a performance analysis of fully intuitionistic fuzzy multi-objective multi-item solid fractional transport model (FIF-MMSFTM). It is to be anticipated that the parameters of the conveyance model will be imprecise by virtue of numerous uncontrollable factors. The model under consideration incorporates intuitionistic fuzzy (IF) quantities of shipments, costs and profit coefficients, supplies, demands, and transport. The FIF-MMSFTM that has been devised is transformed into a linear form through a series of operations. The accuracy function and orde

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