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Journal articles on the topic 'Fuzzy analysis'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Ma, Zhen Ming. "Some Types of Generalized Fuzzyn-Fold Filters in Residuated Lattices." Abstract and Applied Analysis 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/736872.

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Fuzzy filters and their generalized types have been extensively studied in the literature. In this paper, a one-to-one correspondence between the set of all generalized fuzzy filters and the set of all generalized fuzzy congruences is established, a quotient residuated lattice with respect to generalized fuzzy filter is induced, and several types of generalized fuzzyn-fold filters such as generalized fuzzyn-fold positive implicative (fantastic and Boolean) filters are introduced; examples and results are provided to demonstrate the relations among these filters.

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2

Ameer, Eskandar, Hassen Aydi, and Muhammad Arshad. "On Fuzzy Fixed Points and an Application to Ordinary Fuzzy Differential Equations." Journal of Function Spaces 2020 (November 12, 2020): 1–12. http://dx.doi.org/10.1155/2020/8835751.

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The aim of this paper is to obtain the common fuzz fixed points of α -fuzzy mappings satisfying generalized almost Y , Λ -contraction in complete metric spaces. Our results are extensions and improvements of the several well-known recent and classical results in literature. We give an example for supporting these results. As an application, we apply our obtained results to study the existence of a solution for a second order nonlinear boundary value problem.

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3

Ameen, Zanyar A., Tareq M. Al-shami, A. A. Azzam, and Abdelwaheb Mhemdi. "A Novel Fuzzy Structure: Infra-Fuzzy Topological Spaces." Journal of Function Spaces 2022 (April 7, 2022): 1–11. http://dx.doi.org/10.1155/2022/9778069.

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Obtaining a weaker condition that preserves some inspired topological properties is always desirable. As a result, we introduce the concept of infra-fuzzy topology, which is a subset family that degrades the concept of fuzzy topology by omitting the condition of closedness under arbitrary unions. Fundamental properties of infra-fuzzy topological spaces are investigated, including infra-fuzzy open and infra-fuzzy closed sets, infra-fuzzy interior and infra-fuzzy closure operators, and the infra-fuzzy boundary of a fuzzy set. It is not possible to expect the latter concepts to have properties id

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4

Byrne, Peter. "Fuzzy analysis." Journal of Property Valuation and Investment 13, no. 3 (1995): 22–41. http://dx.doi.org/10.1108/14635789510088591.

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5

Madhuri, V., Omar Bazighifan, Ali Hasan Ali, and A. El-Mesady. "On Fuzzy F ∗ -Simply Connected Spaces in Fuzzy F ∗ -Homotopy." Journal of Function Spaces 2022 (April 28, 2022): 1–6. http://dx.doi.org/10.1155/2022/9926963.

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In this paper, the notions of fuzzy F ∗ -simply connected spaces and fuzzy F ∗ -structure homeomorphisms are introduced, and further fuzzy F ∗ -structure homeomorphism between fuzzy F ∗ -path-connected spaces are studied. Also, it is shown that every fuzzy F ∗ -structure subspace of fuzzy F ∗ -simply connected space is fuzzy F ∗ -simply connected subspace. Further, the concepts of fuzzy F ∗ -contractible spaces and fuzzy F ∗ -retracts are introduced, and it is proved that every fuzzy F ∗ -contractible space is fuzzy F ∗ -simply connected.

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6

Pedrycz, Witold. "From fuzzy data analysis and fuzzy regression to granular fuzzy data analysis." Fuzzy Sets and Systems 274 (September 2015): 12–17. http://dx.doi.org/10.1016/j.fss.2014.04.017.

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7

Papageorgiou, Nikolaos S. "Fuzzy topology and fuzzy multifunctions." Journal of Mathematical Analysis and Applications 109, no. 2 (1985): 397–425. http://dx.doi.org/10.1016/0022-247x(85)90159-3.

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8

Prevot, M. "Fuzzy goals under fuzzy constraints." Journal of Mathematical Analysis and Applications 118, no. 1 (1986): 180–93. http://dx.doi.org/10.1016/0022-247x(86)90302-1.

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9

Al-shami, Tareq M., Hariwan Z. Ibrahim, A. A. Azzam, and Ahmed I. EL-Maghrabi. "SR-Fuzzy Sets and Their Weighted Aggregated Operators in Application to Decision-Making." Journal of Function Spaces 2022 (March 11, 2022): 1–14. http://dx.doi.org/10.1155/2022/3653225.

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An intuitionistic fuzzy set is one of the efficient generalizations of a fuzzy set for dealing with vagueness/uncertainties in information. Under this environment, in this manuscript, we familiarize a new type of extensions of fuzzy sets called square-root fuzzy sets (briefly, SR-Fuzzy sets) and contrast SR-Fuzzy sets with intuitionistic fuzzy sets and Pythagorean fuzzy sets. We discover the essential set of operations for the SR-Fuzzy sets along with their several properties. In addition, we define a score function for the ranking of SR-Fuzzy sets. To study multiattribute decision-making prob

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10

Bhunia, Supriya, Ganesh Ghorai, Marwan Amin Kutbi, Muhammad Gulzar, and Md Ashraful Alam. "On the Algebraic Characteristics of Fuzzy Sub e-Groups." Journal of Function Spaces 2021 (October 20, 2021): 1–7. http://dx.doi.org/10.1155/2021/5253346.

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Fuzzy set is a modern tool for depicting uncertainty. This paper introduces the concept of fuzzy sub e-group as an extension of fuzzy subgroup. The concepts of identity and inverse are generalized in fuzzy sub e-groups. Every fuzzy subgroup is proven to be a fuzzy sub e-group, but the converse is not true. Various properties of fuzzy sub e-groups are established. Moreover, the concepts of proper fuzzy sub e-group and super fuzzy sub e-group are discussed. Further, the concepts of fuzzy e-coset and normal fuzzy sub e-group are presented. Finally, we describe the effect of e-group homomorphism o

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11

Watada, Junzo, Hideo Tanaka, and Kiyoji Asai. "Fuzzy discriminant analysis in fuzzy groups." Fuzzy Sets and Systems 19, no. 3 (1986): 261–71. http://dx.doi.org/10.1016/0165-0114(86)90055-2.

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12

Alaoui, Mohammed Kbiri, F. M. Alharbi, and Shamsullah Zaland. "Novel Analysis of Fuzzy Physical Models by Generalized Fractional Fuzzy Operators." Journal of Function Spaces 2022 (January 5, 2022): 1–12. http://dx.doi.org/10.1155/2022/2504031.

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The present article correlates with a fuzzy hybrid technique combined with an iterative transformation technique identified as the fuzzy new iterative transform method. With the help of Atangana-Baleanu under generalized Hukuhara differentiability, we demonstrate the consistency of this method by achieving fuzzy fractional gas dynamics equations with fuzzy initial conditions. The achieved series solution was determined and contacted the estimated value of the suggested equation. To confirm our technique, three problems have been presented, and the results were estimated in fuzzy type. The lowe

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13

Spaces, Journal of Function. "Retracted: A Novel Fuzzy Structure: Infra-Fuzzy Topological Spaces." Journal of Function Spaces 2023 (October 11, 2023): 1. http://dx.doi.org/10.1155/2023/9767612.

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14

Bashir, Shahida, Muhammad Aslam, Rabia Mazhar, and Junaid Asghar. "Rough Fuzzy Ideals Induced by Set-Valued Homomorphism in Ternary Semigroups." Journal of Function Spaces 2022 (May 26, 2022): 1–8. http://dx.doi.org/10.1155/2022/6247354.

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The main objective of this paper is to characterize rough approximations of fuzzy ideals in ternary semigroups. Rough fuzzy ideals are used to deal with vague and incomplete information in decision-making problems. In this research, approximations for fuzzy prime ideals in ternary semigroups are studied. It is proved that generalized lower approximations and generalized upper approximations of ∈ , ∈ ∨ q -fuzzy prime (resp., semiprime) ideals of ternary semigroups are ∈ , ∈ ∨ q -fuzzy prime (resp., semiprime) ideals. For this, the concept of SSVH (strong set-valued homomorphism) and SVH (set-va

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15

Theodorou, Yiannis, and Philippos Alevizos. "The fuzzy eigenvalue problem of fuzzy correspondence analysis." Journal of Interdisciplinary Mathematics 9, no. 1 (2006): 115–37. http://dx.doi.org/10.1080/09720502.2006.10700431.

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16

de Glas, Michel. "Fuzzy σ-fields and fuzzy measures". Journal of Mathematical Analysis and Applications 124, № 1 (1987): 281–89. http://dx.doi.org/10.1016/0022-247x(87)90039-4.

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17

Friedler, Louis M. "Fuzzy closed and fuzzy perfect mappings." Journal of Mathematical Analysis and Applications 125, no. 2 (1987): 451–60. http://dx.doi.org/10.1016/0022-247x(87)90100-4.

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18

Mursaleen, M., M. Balamurugan, K. Loganathan, and Kottakkaran Sooppy Nisar. "( ∈ , ∈ ∨ q ˘ )-Bipolar Fuzzy b -Ideals of BCK/BCI-Algebras." Journal of Function Spaces 2021 (February 10, 2021): 1–8. http://dx.doi.org/10.1155/2021/6615288.

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In this paper, the idea of ∈ , ∈ ∨ q ˘ -bipolar fuzzy b -ideals and an ∈ , ∈ ∨ q ˘ -bipolar fuzzy ideals of BCK / BCI -algebras is delivered, and their related properties are investigated with the aid of some examples. We also provide the connection between ∈ , ∈ ∨ q ˘ -bipolar fuzzy ideals and bipolar fuzzy ideals and ∈ , ∈ ∨ q ˘ -bipolar fuzzy b -ideals and bipolar fuzzy b -ideals by way of counterexamples.

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19

Kattan, Doha A., Maria Amin, and Abdul Bariq. "Certain Structure of Lagrange’s Theorem with the Application of Interval-Valued Intuitionistic Fuzzy Subgroups." Journal of Function Spaces 2022 (February 24, 2022): 1–9. http://dx.doi.org/10.1155/2022/3580711.

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This paper presents the concept of an interval-valued intuitionistic fuzzy subgroup defined on interval-valued intuitionistic fuzzy sets. We study some of the fundamental algebraic properties of interval-valued intuitionistic fuzzy cosets and interval-valued intuitionistic fuzzy normal subgroup of a given group. This idea is used to describe the interval-valued intuitionistic fuzzy order and index of interval-valued intuitionistic fuzzy subgroup. We have created numerous algebraic properties of interval-valued intuitionistic fuzzy order of an element. We also prove the interval-valued intuitio

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20

Hussain, Aftab, Umar Ishtiaq, Khalil Ahmed, and Hamed Al-Sulami. "On Pentagonal Controlled Fuzzy Metric Spaces with an Application to Dynamic Market Equilibrium." Journal of Function Spaces 2022 (January 11, 2022): 1–8. http://dx.doi.org/10.1155/2022/5301293.

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In this manuscript, we coined pentagonal controlled fuzzy metric spaces and fuzzy controlled hexagonal metric space as generalizations of fuzzy triple controlled metric spaces and fuzzy extended hexagonal b-metric spaces. We use a control function in fuzzy controlled hexagonal metric space and introduce five noncomparable control functions in pentagonal controlled fuzzy metric spaces. In the scenario of pentagonal controlled fuzzy metric spaces, we prove the Banach fixed point theorem, which generalizes the Banach fixed point theorem for the aforementioned spaces. An example is offered to supp

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21

Alshammari, Mohammad, Wael W. Mohammed, and Mohammed Yar. "Novel Analysis of Fuzzy Fractional Klein-Gordon Model via Semianalytical Method." Journal of Function Spaces 2022 (May 16, 2022): 1–9. http://dx.doi.org/10.1155/2022/4020269.

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The current article discusses the new fuzzy iterative transform method, a hybrid methodology based on fuzzy logic and an iterative transformation technique. We demonstrate the consistency of our technique by employing the Caputo derivative under generalized Hukuhara differentiability to construct fractional fuzzy Klein-Gordon equations with the initial fuzzy condition. The series produced result was calculated and compared to the exact result’s recommended equations. Two problems were used to verify our method, with the results approximated in fuzzy form. The upper and lower half of the fuzzy

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22

Alleheb, Lubna Abdul Aziz, and Kholood Mohammad Alsager. "Certain Concepts of Q -Hesitant Fuzzy Ideals." Journal of Function Spaces 2022 (July 22, 2022): 1–8. http://dx.doi.org/10.1155/2022/7099148.

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The hesitant fuzzy set model has attracted the interest of scholars in various fields. The striking framework of hesitant fuzzy sets is keen to provide a larger domain of preference for fuzzy information modeling of deployment membership. Starting from the hybrid properties of hesitant fuzzy ideals (HFI), this paper constructs a new generalized hybrid structure Q -HFI. The concept of Q -hesitant fuzzy exchange ideal in B C K -algebra is considered. Lastly, Q -hesitant fuzzy exchange ideal features are described.

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23

Mufti, Zeeshan Saleem, Eiman Fatima, Rukhshanda Anjum, Fairouz Tchier, Qin Xin, and Md Moyazzem Hossain. "Computing First and Second Fuzzy Zagreb Indices of Linear and Multiacyclic Hydrocarbons." Journal of Function Spaces 2022 (March 22, 2022): 1–8. http://dx.doi.org/10.1155/2022/6281592.

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Fuzzy graph theory was invented by Rosenfeld. It is the extension of the work of L.A. Zadeh on fuzzy sets. Rosenfeld extracted the fuzzy-related concepts using the graph theoretic concepts. Topological indices for crisp theory have already been discussed in the literature but these days, topological index-related fuzzy graphs are much popular. Fuzzy graphs are being used as an application in different fields of sciences such as broadcast, communications, producing, social network, man-made reasoning, data hypothesis, and neural systems. In this paper, we have computed some fuzzy topological in

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24

Muhiuddin, G., Nabilah Abughazalah, A. Mahboob, M. E. Elnair, and Abdullah G. Alotaibi. "A Novel Study Based on Fuzzy p-Ideals of BCI-Algebras." Journal of Function Spaces 2023 (July 1, 2023): 1–6. http://dx.doi.org/10.1155/2023/9453596.

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In this paper, we propose the concept of ∈ , ∈ ∨ j ∗ , q j -fuzzy p-ideals in “ B C I -algebras.” We show that “ ∈ , ∈ ∨ q -fuzzy p-ideals” and “ ∈ ∨ j ∗ , q j , ∈ ∨ j ∗ , q j -fuzzy p -ideals” are “ ∈ , ∈ ∨ j ∗ , q j -fuzzy p -ideals.” However, the converse is not true, then presented examples. For a BCI-algebra Y ^ , it has been shown that every ∈ , ∈ ∨ j ∗ , q j -fuzzy p-ideal of Y ^ is an ∈ , ∈ ∨ j ∗ , q j -fuzzy ideals of Y ^ but not conversely, and then, an example is given. Furthermore in Y ^ , a connection between ∈ , ∈ ∨ j ∗ , q j -fuzzy p-ideals and p-ideals is established.

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25

Shamil Ahmadov, Shamil Ahmadov. "ANALYSIS OF FUZZY IMPLICATION." Caucasus-Economic and Social Analysis Journal of Southern Caucasus 58, no. 01 (2024): 24–34. http://dx.doi.org/10.36962/cesajsc58012024-24.

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Fuzzy logic (fuzzy sets) possesses some widespread application in decision-making due to its ability to handle uncertainties in the implemented data and information. The application of fuzzy logic in decision-making usually involves the design of fuzzy rule-based systems. The functioning of the designed fuzzy systems can be compactly defined as the fuzzy inference process. One of the main steps of fuzzy inference is fuzzy implication, and, therefore, the selection of proper implication function possesses the great impact on the corresponding decision-making process. The currently reported rese

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26

Anjum, R., F. Sarfraz, N. Kausar, et al. "Some Studies in Hemirings by the Falling Fuzzy k -Ideals." Journal of Function Spaces 2021 (August 3, 2021): 1–10. http://dx.doi.org/10.1155/2021/6874456.

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In this article, we establish the idea of falling fuzzy k -ideals in hemirings through the falling shadow theory and fuzzy sets. We shall express the relations between fuzzy k -ideals and falling fuzzy k -ideals in hemirings. In particular, we shall establish different characterizations of k -hemiregular hemirings in the perfect positive correlation and independent probability space by means of falling fuzzy k -ideals.

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27

Watanabe, Norio. "Fuzzy theories and statistics—fuzzy data analysis." Communications in Statistics: Case Studies, Data Analysis and Applications 7, no. 4 (2021): 561–72. http://dx.doi.org/10.1080/23737484.2021.1991854.

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28

Furqan, Salman, Hüseyin Işık, and Naeem Saleem. "Fuzzy Triple Controlled Metric Spaces and Related Fixed Point Results." Journal of Function Spaces 2021 (May 20, 2021): 1–8. http://dx.doi.org/10.1155/2021/9936992.

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In this study, we introduce fuzzy triple controlled metric space that generalizes certain fuzzy metric spaces, like fuzzy rectangular metric space, fuzzy rectangular b -metric space, fuzzy b -metric space, and extended fuzzy b -metric space. We use f , g , h , three noncomparable functions as follows: m q μ , η , t + s + w ≥ m q μ , ν , t / f μ , ν ∗ m q ν , ξ , s / g ν , ξ ∗ m q ξ , η , w / h ξ , η . We prove Banach fixed point theorem in the settings of fuzzy triple controlled metric space that generalizes Banach fixed point theorem for aforementioned spaces. An example is presented to suppo

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29

Alesemi, Meshari, Naveed Iqbal, and Noorolhuda Wyal. "Novel Evaluation of Fuzzy Fractional Helmholtz Equations." Journal of Function Spaces 2022 (April 29, 2022): 1–8. http://dx.doi.org/10.1155/2022/8165019.

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The current article discusses the fuzzy new iterative transform approach, which is a combination of a fuzzy hybrid methodology and an iterative transformation technique. We establish the consistence of our strategy by obtaining fractional fuzzy Helmholtz equations with the initial fuzzy condition using the Caputo derivative under generalized Hukuhara differentiability. The series obtained result was calculated and compared to the proposed equations of the actual result. Three challenges were provided to validate our method, and the outcomes were approximated in fuzzy form. In each of the three

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30

OGURA, Yukio. "Stochastic Fuzzy Analysis." Journal of Japan Society for Fuzzy Theory and Systems 10, no. 6 (1998): 1012–19. http://dx.doi.org/10.3156/jfuzzy.10.6_1012.

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31

ISHIBUCHI, Hisao. "Fuzzy Regression Analysis." Journal of Japan Society for Fuzzy Theory and Systems 4, no. 1 (1992): 52–60. http://dx.doi.org/10.3156/jfuzzy.4.1_52.

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32

Yoon, Jin Hee. "Fuzzy Mediation Analysis." International Journal of Fuzzy Systems 22, no. 1 (2019): 338–49. http://dx.doi.org/10.1007/s40815-019-00727-6.

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33

Peters, Robert M., Stanley A. Shanies, and John C. Peters. "Fuzzy Cluster Analysis." Japanese Circulation Journal 62, no. 10 (1998): 750–54. http://dx.doi.org/10.1253/jcj.62.750.

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34

Buckley, J. J. "Fuzzy hierarchical analysis." Fuzzy Sets and Systems 17, no. 3 (1985): 233–47. http://dx.doi.org/10.1016/0165-0114(85)90090-9.

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35

Ghazinoory, S., A. Esmail Zadeh, and A. Memariani. "Fuzzy SWOT analysis." Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology 18, no. 1 (2007): 99–108. https://doi.org/10.3233/ifs-2007-00334.

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36

Razzaque, Asima, and Abdul Razaq. "On q -Rung Orthopair Fuzzy Subgroups." Journal of Function Spaces 2022 (June 6, 2022): 1–9. http://dx.doi.org/10.1155/2022/8196638.

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The q -rung orthopair fuzzy environment is an innovative tool to handle uncertain situations in various decision-making problems. In this work, we characterize the idea of a q -rung orthopair fuzzy subgroup and examine various algebraic attributes of this newly defined notion. We also present q -rung orthopair fuzzy coset and q -rung orthopair fuzzy normal subgroup along with relevant fundamental theorems. Moreover, we introduce the concept of q -rung orthopair fuzzy level subgroup and proved related results. At the end, we explore the consequence of group homomorphism on the q -rung orthopair

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37

Muhiuddin, G., N. Alam, S. Obeidat, et al. "Fuzzy Set Theoretic Approach to Generalized Ideals in BCK/BCI-Algebras." Journal of Function Spaces 2022 (April 4, 2022): 1–8. http://dx.doi.org/10.1155/2022/5462248.

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This paper deals with the study of generalizations of fuzzy subalgebras and fuzzy ideals in BCK/BCI-algebras. In fact, the notions of ∈ , ∈ ∨ κ ~ ∗ , q κ ~ -fuzzy subalgebras, ∈ , ∈ ∨ κ ~ ∗ , q κ ~ -fuzzy ideals, and ∈ ∨ κ ~ ∗ , q κ ~ , ∈ ∨ κ ~ ∗ , q κ ~ -fuzzy ideals in BCK/BCI-algebras are introduced. Some examples are provided to demonstrate the logic of the concepts used in this paper. Moreover, some characterizations of these notions are discussed. In addition, the concept of ∈ , ∈ ∨ κ ~ ∗ , q κ ~ -fuzzy commutative ideals is introduced, and several significant characteristics are discuss

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38

Di Nola, Antonio, and Aldo G. S. Ventre. "On fuzzy integral inequalities and fuzzy expectation." Journal of Mathematical Analysis and Applications 125, no. 2 (1987): 589–99. http://dx.doi.org/10.1016/0022-247x(87)90108-9.

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39

Suzuki, Hisakichi. "On fuzzy measures defined by fuzzy integrals." Journal of Mathematical Analysis and Applications 132, no. 1 (1988): 87–101. http://dx.doi.org/10.1016/0022-247x(88)90045-5.

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40

SEO, Fumiko. "Fuzzy Decision Analysis and Fuzzy Utility Evaluation." Journal of Japan Society for Fuzzy Theory and Systems 11, no. 5 (1999): 721–33. http://dx.doi.org/10.3156/jfuzzy.11.5_17.

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41

UESU, Hiroaki. "Sociometry Analysis Applying Fuzzy Node Fuzzy Graph." Journal of Japan Society for Fuzzy Theory and Systems 14, no. 3 (2002): 299–309. http://dx.doi.org/10.3156/jfuzzy.14.3_299.

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42

Ismagilov, Ilyas Idrisovich, and Ghena Alsaied. "Fuzzy Regression Analysis using Trapezoidal Fuzzy Numbers." Industrial Engineering & Management Systems 19, no. 4 (2020): 896–900. http://dx.doi.org/10.7232/iems.2020.19.4.896.

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43

Yongting, Cen. "Fuzzy quality and analysis on fuzzy probability." Fuzzy Sets and Systems 83, no. 2 (1996): 283–90. http://dx.doi.org/10.1016/0165-0114(95)00383-5.

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44

Riasna, Iryna. "Fuzzy Cluster Analysis: Pseudometrics and Fuzzy Clusters." Cybernetics and Computer Technologies, no. 1 (April 28, 2023): 23–34. http://dx.doi.org/10.34229/2707-451x.23.1.3.

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Introduction. Clustering problems arise in various spheres of human activity. In cases where there are no initial data sufficient for statistical analysis or information obtained from experts is used, fuzzy models are proposed that take into account different types of uncertainty and more argumentatively reflect real situations that model systems of different purposes. Particular attention is drawn to invariance in problems with different types of data measured in different scales according to the classification of S. Stevens. It is known that when solving cluster analysis problems using the t

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45

Masmali, Ibtisam, Umer Shuaib, Abdul Razaq, Areeba Fatima та Ghaliah Alhamzi. "On Fundamental Algebraic Characterizations of μ -Fuzzy Normal Subgroups". Journal of Function Spaces 2022 (19 травня 2022): 1–10. http://dx.doi.org/10.1155/2022/2703489.

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In this article, we present the study of μ -fuzzy subgroups and prove numerous fundamental algebraic attributes of this newly defined notion. We also define the concept of μ -fuzzy normal subgroup and investigate many vital algebraic characteristics of these phenomena. In addition, we characterize the quotient group induced by this particular fuzzy normal subgroup and establish a group isomorphism between the quotient groups G / κ μ and G / κ ∗ μ . Furthermore, we initiate the study of level subgroup, open level subgroup, and tangible subgroup of a μ -fuzzy subgroup and emphasize the significa

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46

Riaz, Muhammad, Aurang Zeb, Fawad Ali, Muhammad Naeem, and Sama Arjika. "Fermatean Cubic Fuzzy Aggregation Operators and Their Application in Multiattribute Decision-Making Problems." Journal of Function Spaces 2022 (November 30, 2022): 1–18. http://dx.doi.org/10.1155/2022/3664302.

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The purpose of aggregation methods is to convert a list of objects of a set into a single object of the same set usually by an n -arry function, so-called aggregation operator. The key features of this work are the aggregation operators, because they are based on a novel set called Fermatean cubic fuzzy set (F-CFS). F-CFS has greater spatial scope and can deal with more ambiguous situations where other fuzzy set extensions fail to support them. For this purpose, the notion of F-CFS is defined. F-CFS is the transformation of intuitionistic cubic fuzzy set (I-CFS), Pythagorean cubic fuzzy set (P

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47

Altanji, Mohamed, Annamalai Santhi, Vediyappan Govindan, Shyam Sundar Santra, and Samad Noeiaghdam. "Fixed-Point Results Related to b-Intuitionistic Fuzzy Metric Space." Journal of Function Spaces 2022 (May 12, 2022): 1–15. http://dx.doi.org/10.1155/2022/9561906.

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In this study, we contribute to the terminological debate about various fixed-point results’ use of the term intuitionistic fuzzy b-metric space in defining the structure based on fuzzy sets. As a predominant result, we give an adequate condition for a sequence to be Cauchy in the intuitionistic fuzzy b-metric space. Subsequently, we simplify the proofs of manifold fixed-point theorems in the intuitionistic fuzzy b-metric spaces under the prominent contraction conditions. Also, we give a satisfactory condition for a solution to Cauchy in the intuitionistic fuzzy b-metric spaces.

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48

Aljahdaly, Noufe H., Muhammad Naeem, and Noorolhuda Wyal. "Analysis of Fuzzy Kuramoto-Sivashinsky Equations under a Generalized Fuzzy Fractional Derivative Operator." Journal of Function Spaces 2022 (June 7, 2022): 1–11. http://dx.doi.org/10.1155/2022/9517158.

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This paper evaluates a semianalytical strategy combined with a novel fuzzy integral transformation and an iterative method inside the fuzziness concept known as the new iterative transform method. Additionally, we apply the abovementioned technique to the fractional fuzzy Kuramoto-Sivashinsky equations with g H -differentiability by employing various initial conditions. Numerous algebraic properties of the fuzzy fractional derivative Atangana-Baleanu operator are illustrated concerning the Shehu transformation to demonstrate their utility. Additionally, a general technique for Atangana-Baleanu

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Faried, Nashat, Mohamed S. S. Ali, and Hanan H. Sakr. "On Fuzzy Soft Linear Operators in Fuzzy Soft Hilbert Spaces." Abstract and Applied Analysis 2020 (July 31, 2020): 1–13. http://dx.doi.org/10.1155/2020/5804957.

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Abstract:

Due to the difficulty of representing problem parameters fuzziness using the soft set theory, the fuzzy soft set is regarded to be more general and flexible than using the soft set. In this paper, we define the fuzzy soft linear operator T~ in the fuzzy soft Hilbert space H~ based on the definition of the fuzzy soft inner product space U~,·,·~ in terms of the fuzzy soft vector v~fGe modified in our work. Moreover, it is shown that ℂnA, ℝnA and ℓ2A are suitable examples of fuzzy soft Hilbert spaces and also some related examples, properties and results of fuzzy soft linear operators are introdu

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50

Spaces, Journal of Function. "Retracted: On Fuzzy F ∗ -Simply Connected Spaces in Fuzzy F ∗ -Homotopy." Journal of Function Spaces 2023 (October 4, 2023): 1. http://dx.doi.org/10.1155/2023/9858941.

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