Academic literature on the topic 'Fuzzy binary soft'

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Journal articles on the topic "Fuzzy binary soft"

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H, Sivasankari, and Subhashini J. "Intuitionistic Fuzzy Binary Soft Sets and Its Properties." Indian Journal of Science and Technology 17, no. 35 (2024): 3636–42. https://doi.org/10.17485/IJST/v17i35.1161.

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Abstract <strong>Objective :</strong>&nbsp;The objective of Intuitionistic fuzzy binary soft sets is to extend the existing frameworks of binary soft sets and Intuitionistic fuzzy sets to accommodate both uncertainty and ambiguity in decision-making processes. This extension aims to provide a more flexible, representation of real-world data and phenomena, allowing for analysis and reasoning. Specifically, the objective involves defining the fundamental structures of Intuitionistic fuzzy binary soft sets over two initial universal sets, U1 and U2.&nbsp;<strong>Method:</strong>&nbsp;Reviewing th
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Sivasankari, H., and J. Subhashini. "Intuitionistic Fuzzy Binary Soft Sets and Its Properties." Indian Journal Of Science And Technology 17, no. 35 (2024): 3636–42. http://dx.doi.org/10.17485/ijst/v17i35.1161.

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Objective : The objective of Intuitionistic fuzzy binary soft sets is to extend the existing frameworks of binary soft sets and Intuitionistic fuzzy sets to accommodate both uncertainty and ambiguity in decision-making processes. This extension aims to provide a more flexible, representation of real-world data and phenomena, allowing for analysis and reasoning. Specifically, the objective involves defining the fundamental structures of Intuitionistic fuzzy binary soft sets over two initial universal sets, U1 and U2. Method: Reviewing the existing literature on binary soft sets, Intuitionistic
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Hassan, Asmhan F., Eman Y. Habeeb, and Zinah A. Hasan. "A new type of fuzzy soft topological space via binary relation fuzzy soft set." Journal of Discrete Mathematical Sciences and Cryptography 27, no. 5 (2024): 1605–10. http://dx.doi.org/10.47974/jdmsc-2002.

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We propose in this work a novel idea to construct a kind of fuzzy soft topological space via utilizing the definition of Binary Relation-FS-set, which was presented recently, and it is called Binary Relation-FS-topological spaces. We center around the foundational definitions and main properties of the Binary Relation-FS-topology, such as, the Binary Relation -FSinterior, and Binary Relation -FS-closure, with some basic theorems. This new kind of fuzzysoft topology is more functional and advantageous, and it also contributes to some scientific applications. Furthermore, an advantageous and imp
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Alhussain, Zahraa F. Abd, and Asmhan F. Hassan. "N-ary relation fuzzy-soft set." Journal of Interdisciplinary Mathematics 26, no. 7 (2023): 1449–54. http://dx.doi.org/10.47974/jim-1564.

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We introduce in this paper a novel idea (new model) of fuzzy-soft-sets via linking the Binary, Ternary and N-ary relation soft-sets definitions together with the fuzzy-sets definitions for power sets and then arises the novel kinds which are named as (Binary relation, Ternary relation, N-ary relation fuzzy-soft sets), we will denote for them as (B-R-F-S), (T-R-F-S) and (N-R-F-S) resp. , which are more useful and functional to create theoretical and practical works also to make some new studies (new ideas) cutting-edge the fuzzy-soft-set theory. We focus on the main processess on N-ary relation
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Singh, Seema, and D. S. Hooda. "ON SOFT AND FUZZY SOFT RELATIONS WITH THEIR APPLICATIONS." Jnanabha 50, no. 01 (2020): 102–14. http://dx.doi.org/10.58250/jnanabha.2020.50112.

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In our day to day life we face many problems which are abstract or vague in nature. These problems cannot be solved only by using simple mathematical tools. To deal with such kind of problems a new technique popularly known as Fuzzy Set Theory was discovered. Fuzzy set is the generalization of crisp set and is used in almost every field of life including Medical Sciences, Business, Administration, Social Science and Operation Research. Later on, a new concept of parameterization of power set of the universal set was introduced. Consequently, Fuzzy Soft Set Theory was defined by embedding Fuzzy
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Khan, Faiz Muhammad, Violeta Leoreanu-Fotea, Saifullah, and Amanullah. "A Benchmark Generalization of Fuzzy Soft Ideals in Ordered Semigroups." Analele Universitatii "Ovidius" Constanta - Seria Matematica 29, no. 2 (2021): 155–71. http://dx.doi.org/10.2478/auom-2021-0023.

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Abstract In real life, variability and inaccuracy are always presentand must be calculated by either possibilistic, probabilistic, polymorphic or other uncertainty approach. This benchmark study is about to construct new types of fuzzy soft ideals i.e., (∈, ∈ ∨qk )-FSR(L)Is of ordered semigroup(OSG). Based on this inception, fuzzy soft level subsets are defined which link ordinary ideals with (∈, ∈ ∨qk )-fuzzy soft left(right) ideals. Some binary operations like ◦ λ , intersection ∩ λ and union of fuzzy soft sets ∪ λ are given and various fundamental results of ideal theory are developed throu
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Feng, Feng, Irfan Ali, and Muhammad Shabir. "Soft relations applied to semigroups." Filomat 27, no. 7 (2013): 1183–96. http://dx.doi.org/10.2298/fil1307183f.

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Binary relations, in particular, equivalence relations play an important role in both mathematics and information sciences. The concept of soft sets was initiated by Molodtsov as a general mathematical framework for dealing with uncertainty. The present paper establishes a possible connection between binary relations and soft sets. The concept of soft binary relations is introduced and some related properties are investigated. It is shown that any fuzzy relation may be considered as a soft binary relation. Moreover, we discuss the application of soft binary relations in semigroup theory. We co
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Din, Jamalud, Muhammad Shabir, and Ye Wang. "Pessimistic Multigranulation Roughness of a Fuzzy Set Based on Soft Binary Relations over Dual Universes and Its Application." Mathematics 10, no. 4 (2022): 541. http://dx.doi.org/10.3390/math10040541.

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The rough set model for dual universes and multi granulation over dual universes is an interesting generalization of the Pawlak rough set model. In this paper, we present a pessimistic multigranulation roughness of a fuzzy set based on soft binary relations over dual universes. Firstly, we approximate fuzzy set w.r.t aftersets and foresets of the finite number of soft binary relations. As a result, we obtained two sets of fuzzy soft sets known as the pessimistic lower approximation of a fuzzy set and the pessimistic upper approximation of a fuzzy set—the w.r.t aftersets and the w.r.t foresets.
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Dusmanta Kumar Sut. "Algebraic Structures and Operations in Fuzzy Soft Set Theory." Communications on Applied Nonlinear Analysis 27, no. 1 (2020): 93–116. https://doi.org/10.52783/cana.v27.5878.

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Fuzzy soft set theory, introduced as a synthesis of fuzzy set and soft set frameworks, has gained prominence as a robust approach to handling parameterized uncertainty in mathematical modeling. In this paper, we examine the algebraic structures that emerge within the framework of fuzzy soft sets, focusing on the development of fuzzy soft groups, semigroups, and rings under appropriately defined binary operations. We rigorously define operations such as fuzzy soft union, intersection, complement, and cartesian product, and establish conditions under which these operations satisfy closure, assoc
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Gino Metilda, P., and J. Subhashini. "Fuzzy Binary Soft Separation Axioms and its Properties." Journal of Physics: Conference Series 1947, no. 1 (2021): 012020. http://dx.doi.org/10.1088/1742-6596/1947/1/012020.

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Book chapters on the topic "Fuzzy binary soft"

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Burduk, Robert. "Stage-Dependent Fuzzy-valued Loss Function in Two-Stage Binary Classifier." In Advances in Soft Computing. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-74972-1_8.

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Pietraszek, Jacek. "The Modified Sequential-Binary Approach for Fuzzy Operations on Correlated Assessments." In Artificial Intelligence and Soft Computing. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-38658-9_32.

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Kacprzyk, Janusz, Hannu Nurmi, and Sławomir Zadrożny. "Using Similarity and Dissimilarity Measures of Binary Patterns for the Comparison of Voting Procedures." In Granular, Soft and Fuzzy Approaches for Intelligent Systems. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-40314-4_8.

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Moewes, Christian, and Rudolf Kruse. "Evolutionary Fuzzy Rules for Ordinal Binary Classification with Monotonicity Constraints." In Soft Computing: State of the Art Theory and Novel Applications. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-34922-5_8.

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Pandey, Dilkeshwar, and Rajive Kumar. "Hybrid Algorithm Using Fuzzy C-Means and Local Binary Patterns for Image Indexing and Retrieval." In Soft Computing Techniques in Vision Science. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-25507-6_10.

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Zhan, F. Benjamin. "A Fuzzy Set Model of Approximate Linguistic Terms in Descriptions of Binary Topological Relations Between Simple Regions." In Applying Soft Computing in Defining Spatial Relations. Physica-Verlag HD, 2002. http://dx.doi.org/10.1007/978-3-7908-1752-2_8.

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Mammadov, A. N., Z. S. Aliev, and M. B. Babanly. "Study of the Uncertainty Heterogeneous Phase Equilibria Areas in the Binary YbTe-SnTe Alloy System." In 13th International Conference on Theory and Application of Fuzzy Systems and Soft Computing — ICAFS-2018. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-04164-9_107.

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Nusratov, Oktay, Asker Almasov, and Hafiz Bayramov. "Approach to the Increasing the Validity of the Position-Binary Method for Cyclic Signal Recognition." In 13th International Conference on Theory and Application of Fuzzy Systems and Soft Computing — ICAFS-2018. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-04164-9_73.

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Msirali, Holyheavy, Ijeoma Abigail Onyeozili, and Ahmed Yusuf Omeiza. "Some Results on Weighted Intuitionistic Fuzzy Soft Sets." In Handbook of Research on Advances and Applications of Fuzzy Sets and Logic. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-7998-7979-4.ch023.

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A weighted intuitionistic fuzzy soft set (WIFSS) is an important generalization of intuitionistic fuzzy soft set (IFSS). In this research work, the authors define the basic binary set operations, such as union, restricted union, restricted intersection, extended intersection, restricted difference, sum, AND-product, OR-product, and some concepts on weighted intuitionistic fuzzy soft set. They also present some properties of the operations and established some fundamental results including various De Morgan's type of results in weighted intuitionistic fuzzy soft set context.
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Dan, Pranab K., Tamal Ghosh, and Sourav Sengupta. "Application of Soft-Computing Methods in Cellular Manufacturing." In Computational Methods for Optimizing Manufacturing Technology. IGI Global, 2012. http://dx.doi.org/10.4018/978-1-4666-0128-4.ch001.

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The essential problem in Cellular Manufacturing System (CMS) is to identify the machine cells and subsequent part families with an aim to curtail the intercell and intracell traffic, known as Cell Formation Problem (CFP). This chapter portrays the need of soft-computing methods to model the CFP to attain enhanced solutions. The novelty of this chapter is in developing a hybrid state-of-the-art metaheuristic approach, namely SAHCF (Simulated Annealing Heuristic to Cell Formation), to solve the binary CFP, and further, a Fuzzy-ART based hybrid technique is framed to solve the generalized CFP usi
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Conference papers on the topic "Fuzzy binary soft"

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Metilda, P. Gino, and J. Subhashini. "Remarks on fuzzy binary soft limit points." In INTERNATIONAL CONFERENCE ON ADVANCES IN MATERIALS, COMPUTING AND COMMUNICATION TECHNOLOGIES: (ICAMCCT 2021). AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0070723.

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Subhashini, J., and P. Gino Metilda. "A note on fuzzy binary soft separation axioms." In INTERNATIONAL CONFERENCE ON ADVANCES IN MATERIALS, COMPUTING AND COMMUNICATION TECHNOLOGIES: (ICAMCCT 2021). AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0070744.

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Sivasankari, H., and J. Subhashini. "Similarity measures of intuitionistic fuzzy binary soft sets." In INTERNATIONAL CONFERENCE ON MODELLING STRATEGIES IN MATHEMATICS: ICMSM 2024. AIP Publishing, 2025. https://doi.org/10.1063/5.0275726.

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