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Journal articles on the topic 'Fuzzy Soft Sets'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Liu, Xiaoyan, Feng Feng, and Hui Zhang. "On Some Nonclassical Algebraic Properties of Interval-Valued Fuzzy Soft Sets." Scientific World Journal 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/192957.

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Interval-valued fuzzy soft sets realize a hybrid soft computing model in a general framework. Both Molodtsov’s soft sets and interval-valued fuzzy sets can be seen as special cases of interval-valued fuzzy soft sets. In this study, we first compare four different types of interval-valued fuzzy soft subsets and reveal the relations among them. Then we concentrate on investigating some nonclassical algebraic properties of interval-valued fuzzy soft sets under the soft product operations. We show that some fundamental algebraic properties including the commutative and associative laws do not hold

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Meng, Dan, Xiaohong Zhang, and Keyun Qin. "Soft rough fuzzy sets and soft fuzzy rough sets." Computers & Mathematics with Applications 62, no. 12 (2011): 4635–45. http://dx.doi.org/10.1016/j.camwa.2011.10.049.

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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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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> 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. <strong>Method:</strong> Reviewing th

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5

Shi, Fu-Gui, and Chao-Zan Fan. "Fuzzy soft sets as L-fuzzy sets." Journal of Intelligent & Fuzzy Systems 37, no. 4 (2019): 5061–66. http://dx.doi.org/10.3233/jifs-182828.

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6

Shao, Yingchao, and Keyun Qin. "Fuzzy Soft Sets and Fuzzy Soft Lattices." International Journal of Computational Intelligence Systems 5, no. 6 (2012): 1135–47. http://dx.doi.org/10.1080/18756891.2012.747667.

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7

Min, Won-Keun. "Interval-Valued Intuitionistic Fuzzy Soft Sets." Journal of Korean Institute of Intelligent Systems 18, no. 3 (2008): 316–22. http://dx.doi.org/10.5391/jkiis.2008.18.3.316.

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Al-shami, Tareq M., José Carlos R. Alcantud, and Abdelwaheb Mhemdi. "New generalization of fuzzy soft sets: $ (a, b) $-Fuzzy soft sets." AIMS Mathematics 8, no. 2 (2023): 2995–3025. http://dx.doi.org/10.3934/math.2023155.

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<abstract><p>Many models of uncertain knowledge have been designed that combine expanded views of fuzziness (expressions of partial memberships) with parameterization (multiple subsethood indexed by a parameter set). The standard orthopair fuzzy soft set is a very general example of this successful blend initiated by fuzzy soft sets. It is a mapping from a set of parameters to the family of all orthopair fuzzy sets (which allow for a very general view of acceptable membership and non-membership evaluations). To expand the scope of application of fuzzy soft set theory, the restricti

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9

Zhang, Zhiming. "The Parameter Reduction of Fuzzy Soft Sets Based on Soft Fuzzy Rough Sets." Advances in Fuzzy Systems 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/197435.

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Fuzzy set theory, rough set theory, and soft set theory are three effective mathematical tools for dealing with uncertainties and have many wide applications both in theory and practise. Meng et al. (2011) introduced the notion of soft fuzzy rough sets by combining fuzzy sets, rough sets, and soft sets all together. The aim of this paper is to study the parameter reduction of fuzzy soft sets based on soft fuzzy rough approximation operators. We propose some concepts and conditions for two fuzzy soft sets to generate the same lower soft fuzzy rough approximation operators and the same upper sof

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Fujita, Takaaki. "Fuzzy MultiDirected Sets, Neutrosophic MultiDirected Sets, Plithogenic MultiDirected Sets, Soft MultiDirected Sets, and Hypersoft MultiDirected Sets." HyperSoft Set Methods in Engineering 3 (April 23, 2025): 70–88. https://doi.org/10.61356/j.hsse.2025.3470.

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A fuzzy set generalizes classical sets by assigning each element a membership value in the interval [0, 1], thereby capturing partial or uncertain membership. A Neutrosophic Set extends fuzzy sets by introducing three independent membership degrees: truth, indeterminacy, and falsity, each ranging within [0, 1]. A Plithogenic Set further generalizes classical and fuzzy sets by incorporating attributes, their possible values, and a measure of contradiction. Other notable frameworks for handling uncertainty include the Soft Set and Hypersoft Set, which provide flexible parameterized approaches. A

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Ahmad, B., and Athar Kharal. "On Fuzzy Soft Sets." Advances in Fuzzy Systems 2009 (2009): 1–6. http://dx.doi.org/10.1155/2009/586507.

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We further contribute to the properties of fuzzy soft sets as defined and studied in the work of Maji et al. ( 2001), Roy and Maji (2007), and Yang et al. (2007) and support them with examples and counterexamples. We improve Proposition 3.3 by Maji et al., (2001). Finally we define arbitrary fuzzy soft union and fuzzy soft intersection and prove DeMorgan Inclusions and DeMorgan Laws in Fuzzy Soft Set Theory.

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12

Irfan Ali, Muhammad. "A note on soft sets, rough soft sets and fuzzy soft sets." Applied Soft Computing 11, no. 4 (2011): 3329–32. http://dx.doi.org/10.1016/j.asoc.2011.01.003.

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13

P., Thirunavukarasu, and Suresh R. "Parameterized Soft Complex Fuzzy Sets." Journal of Progressive Research in Mathematics 4, no. 2 (2015): 303–8. https://doi.org/10.5281/zenodo.3980480.

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In this paper, we presents a new concept of parameterized soft complex fuzzy set (pscf-set) which is generalized from the innovative concept of a complex fuzzy set by adding phase term to the definition of fuzzy set. Various operators with examples of pscf-set provided in this paper. We then define a pscf-set aggregation operator.

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14

Hameed, M. Shazib, Salman Mukhtar, Haq Nawaz Khan, Shahbaz Ali, M. Haris Mateen, and Muhammad Gulzar. "Pythagorean Fuzzy N-Soft Groups." Indonesian Journal of Electrical Engineering and Computer Science 21, no. 2 (2021): 1030–38. https://doi.org/10.11591/ijeecs.v21i2.pp1030-1038.

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We elaborate in this paper a new structure Pythagorean fuzzy N-soft groups which is the generalization of intuitionistic fuzzy soft group initiated by Karaaslan in 2013. In Pythagorean fuzzy N-soft sets concepts of fuzzy sets, soft sets, N-soft sets, fuzzy soft sets, intuitionistic fuzzy sets, intuitionistic fuzzy soft sets, Pythagorean fuzzy sets, Pythagorean fuzzy soft sets are generalized. We also talk about some elementary basic concepts and operations on Pythagorean fuzzy N-soft sets with the assistance of illusions. We additionally define three different sorts of complements for Pythagor

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15

Satirad, Akarachai, and Aiyared Iampan. "Fuzzy Soft Sets over Fully UP-Semigroups." European Journal of Pure and Applied Mathematics 12, no. 2 (2019): 294–331. http://dx.doi.org/10.29020/nybg.ejpam.v12i2.3412.

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In this paper, we introduce ten types of fuzzy soft sets over fully UP-semigroups, and investigate the algebraic properties of fuzzy soft sets under the operations of (extended) intersection and (restricted) union.Further, we discuss the relation between some conditions of fuzzy soft sets and fuzzy soft UP$\mathrm{_{s}}$-subalgebras (resp., fuzzy soft UP$\mathrm{_{i}}$-subalgebras, fuzzy soft near UP$\mathrm{_{s}}$-filters, fuzzy soft near UP$\mathrm{_{i}}$-filters, fuzzy soft UP$\mathrm{_{s}}$-filters, fuzzy soft UP$\mathrm{_{i}}$-filters, fuzzy soft UP$\mathrm{_{s}}$-ideals, fuzzy soft UP$\m

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Majumdar, Pinaki, and S. K. Samanta. "Generalised fuzzy soft sets." Computers & Mathematics with Applications 59, no. 4 (2010): 1425–32. http://dx.doi.org/10.1016/j.camwa.2009.12.006.

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17

Min, Won-Keun. "A Note on Interval-Valued Fuzzy Soft Sets." Journal of Korean Institute of Intelligent Systems 18, no. 3 (2008): 412–15. http://dx.doi.org/10.5391/jkiis.2008.18.3.412.

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18

Mahmood, Majd Hamid. "On α-Fuzzy Soft Irreducible Spaces". Al-Mustansiriyah Journal of Science 34, № 1 (2023): 65–70. http://dx.doi.org/10.23851/mjs.v34i1.1215.

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We define fuzzy soft irreducible sets, a-fuzzy soft irreducible sets in fuzzy soft topological spaces and study the properties including (fuzzy soft continuity; fuzzy soft homeomorphism and fuzzy soft topological properties) on a-fuzzy soft irreducible sets.

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19

Wang, Jian-qiang, Xin-E. Li, and Xiao-hong Chen. "Hesitant Fuzzy Soft Sets with Application in Multicriteria Group Decision Making Problems." Scientific World Journal 2015 (2015): 1–14. http://dx.doi.org/10.1155/2015/806983.

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Soft sets have been regarded as a useful mathematical tool to deal with uncertainty. In recent years, many scholars have shown an intense interest in soft sets and extended standard soft sets to intuitionistic fuzzy soft sets, interval-valued fuzzy soft sets, and generalized fuzzy soft sets. In this paper, hesitant fuzzy soft sets are defined by combining fuzzy soft sets with hesitant fuzzy sets. And some operations on hesitant fuzzy soft sets based on Archimedean t-norm and Archimedean t-conorm are defined. Besides, four aggregation operations, such as the HFSWA, HFSWG, GHFSWA, and GHFSWG ope

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Nazra, Admi, Jenizon, Yudiantri Asdi, and Zulvera. "Generalized hesitant intuitionistic fuzzy N-soft sets-first result." AIMS Mathematics 7, no. 7 (2022): 12650–70. http://dx.doi.org/10.3934/math.2022700.

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<abstract><p>The study on N-soft sets (NSSs) has been significantly developed recently. Hybrid models such as fuzzy N-soft sets, Intuitionistic fuzzy N-soft sets, and hesitant fuzzy N-soft sets were introduced to combine fuzzy sets, intuitionistic fuzzy sets and hesitant fuzzy sets with NSSs. Related to the hybrid models, it was also constructed some complements, operations and related properties. This article aims to construct a new hybrid model called hesitant intuitionistic fuzzy N-soft sets (HIFNSSs) to combine intuitionistic fuzzy N-soft sets and hesitant fuzzy N-soft sets. Mo

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Ali, Muhammad Irfan, and Muhammad Shabir. "Logic Connectives for Soft Sets and Fuzzy Soft Sets." IEEE Transactions on Fuzzy Systems 22, no. 6 (2014): 1431–42. http://dx.doi.org/10.1109/tfuzz.2013.2294182.

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22

Wang, Lu, and Keyun Qin. "Incomplete Fuzzy Soft Sets and Their Application to Decision-Making." Symmetry 11, no. 4 (2019): 535. http://dx.doi.org/10.3390/sym11040535.

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The research of incomplete fuzzy soft sets is of paramount importance in fuzzy soft sets, where the combination of incomplete fuzzy soft set and decision-making problem is of great significance. Incomplete information in fuzzy soft sets leads to more uncertainty and ambiguity in decision-making. The focus of this paper to propose an algorithm of fuzzy soft set based decision-making problems under incomplete information. On the basis of the weighted function, we introduce the notions of weighted incomplete soft sets and weighted incomplete fuzzy soft sets, and show an approach to weighted incom

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23

Kandil, A., and O. A. E. Tantawy. "Fuzzy Soft Connected Sets in Fuzzy Soft Topological Spaces." JOURNAL OF ADVANCES IN MATHEMATICS 12, no. 8 (2016): 6473–888. http://dx.doi.org/10.24297/jam.v12i8.136.

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In this paper we introduce some types of fuzzy soft separated sets and study some of thier preperties. Next, the notion of connectedness in fuzzy topological spaces due to Ming and Ming, Zheng etc., extended to fuzzy soft topological spaces. The relationship between these types of connectedness in fuzzy soft topological spaces is investigated with the help of number of counter examples.

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24

Mateen, MUHAMMAD Haris. "Pythagorean Fuzzy N-Soft Groups." Indonesian Journal of Electrical Engineering and Computer Science 21, no. 2 (2021): 1030. http://dx.doi.org/10.11591/ijeecs.v21.i2.pp1030-1038.

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<p>We elaborate in this paper a new structure Pythagorean fuzzy<br />$N$-soft groups which is the generalization of intuitionistic fuzzy<br />soft group initiated by Karaaslan in 2013. In Pythagorean fuzzy<br />N-soft sets concepts of fuzzy sets, soft sets, N-soft sets, fuzzy<br />soft sets, intuitionistic fuzzy sets, intuitionistic fuzzy soft<br />sets, Pythagorean fuzzy sets, Pythagorean fuzzy soft sets are<br />generalized. We also talk about some elementary basic concepts and<br />operations on Pythagorean fuzzy N-soft sets with the assistanc

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25

Rehman, Noor, Abbas Ali, and Choonkil Park. "Note on fuzzy soft sets and fuzzy soft lattices." Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 113, no. 1 (2017): 41–48. http://dx.doi.org/10.1007/s13398-017-0450-3.

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26

Wang, Fuqiang, Xihua Li, and Xiaohong Chen. "Hesitant Fuzzy Soft Set and Its Applications in Multicriteria Decision Making." Journal of Applied Mathematics 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/643785.

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Molodtsov’s soft set theory is a newly emerging mathematical tool to handle uncertainty. However, the classical soft sets are not appropriate to deal with imprecise and fuzzy parameters. This paper aims to extend the classical soft sets to hesitant fuzzy soft sets which are combined by the soft sets and hesitant fuzzy sets. Then, the complement, “AND”, “OR”, union and intersection operations are defined on hesitant fuzzy soft sets. The basic properties such as DeMorgan’s laws and the relevant laws of hesitant fuzzy soft sets are proved. Finally, with the help of level soft set, the hesitant fu

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Kazancı, Osman, Sarka Hoskova-Mayerova, and Bijan Davvaz. "Application Multi-Fuzzy Soft Sets in Hypermodules." Mathematics 9, no. 18 (2021): 2182. http://dx.doi.org/10.3390/math9182182.

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The goal of this paper is to introduce a novel soft hyperstructure called multi-fuzzy soft hyperstructure. We investigate the notion of multi-fuzzy soft hypermodules and some of their structural properties are discussed. We discuss the behavior image and inverse image of a multi-fuzzy soft set under the multi-fuzzy soft function. According to Zadeh’s extension principle, we prove that the image and inverse image of a multi-fuzzy soft hypermodules are further multi-fuzzy soft hypermodule.

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A., Solairaju, and Mahalakshmi S. "A MULTICRITERIA GROUP DECISION MAKING USING BIPOLAR HESITANT FUZZY SOFT A-IDEALS IN BCK/BCI ALGEBRAS." International Journal of Current Research and Modern Education, Special Issue (August 13, 2017): 47–52. https://doi.org/10.5281/zenodo.842232.

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In this paper, we introduce the notion of hesitant set in bipolar fuzzy soft set and studied its relations and properties. Also the notion of bipolar hesitant fuzzy soft subalgebras and soft a-deals is introduced. The relation between the concepts of bipolar hesitant fuzzy set function and soft a-ideals in BCK/BCI algebras are considered. A multicriteria group decision making approach using bipolar hesitant fuzzy soft a-ideal are also proposed.

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Xin, Xiaolong, Rajab Borzooei, Mahmood Bakhshi, and Young Jun. "Intuitionistic Fuzzy Soft Hyper BCK Algebras." Symmetry 11, no. 3 (2019): 399. http://dx.doi.org/10.3390/sym11030399.

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Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets, and presented an application of fuzzy soft sets in a decision-making problem. Maji et al. also introduced the notion of intuitionistic fuzzy soft sets in the paper [P.K. Maji, R. Biswas and A.R. Roy, Intuitionistic fuzzy soft sets, The Journal of Fuzzy Mathematics, 9 (2001), no. 3, 677–692]. The aim of this manuscript is to apply the notion of intuitionistic fuzzy soft set to hyper BCK algebras. The notions of intuitionistic fuzzy soft hyper BCK ideal, intuitionistic fuzzy soft weak hyper BCK i

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Fu, Li, QiaoYun Liu та LuoTai Qie. "α-level Fuzzy Soft Sets". Journal of Mathematics Research 12, № 3 (2020): 16. http://dx.doi.org/10.5539/jmr.v12n3p16.

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In this paper, based on soft lattices, with the help of fuzzy level (cut) set, -level fuzzy soft sets and -level fuzzy soft lattices are defined, and the structure and characteristics of our definitions are explained with examples, at the same time, their di erences and relations are compared with classic soft set.

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Jiang, Yuncheng, Yong Tang, Hai Liu, and Zhenzhou Chen. "Entropy on intuitionistic fuzzy soft sets and on interval-valued fuzzy soft sets." Information Sciences 240 (August 2013): 95–114. http://dx.doi.org/10.1016/j.ins.2013.03.052.

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Zhang, Haidong, Lianglin Xiong, and Weiyuan Ma. "On Interval-Valued Hesitant Fuzzy Soft Sets." Mathematical Problems in Engineering 2015 (2015): 1–17. http://dx.doi.org/10.1155/2015/254764.

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By combining the interval-valued hesitant fuzzy set and soft set models, the purpose of this paper is to introduce the concept of interval-valued hesitant fuzzy soft sets. Further, some operations on the interval-valued hesitant fuzzy soft sets are investigated, such as complement, “AND,” “OR,” ring sum, and ring product operations. Then, by means of reduct interval-valued fuzzy soft sets and level hesitant fuzzy soft sets, we present an adjustable approach to interval-valued hesitant fuzzy soft sets based on decision making and some numerical examples are provided to illustrate the developed

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Li, Chunquan, Dongxue Li, and Jianhua Jin. "Generalized Hesitant Fuzzy Soft Sets and Its Application to Decision Making." International Journal of Pattern Recognition and Artificial Intelligence 33, no. 12 (2019): 1950019. http://dx.doi.org/10.1142/s0218001419500198.

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In this paper, we propose generalized hesitant fuzzy soft sets by integrating generalized fuzzy soft sets with hesitant fuzzy sets. Then we investigate several fundamental properties of generalized hesitant fuzzy soft sets. In particular, a system of all the generalized hesitant fuzzy soft sets with narrow strict union and generalized strict intersection operators turns out to be a lattice. Meanwhile, a system of all the generalized hesitant fuzzy soft sets with generalized strict union and narrow strict intersection operators is a lattice. Based on generalized hesitant fuzzy soft sets, we pro

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Zhang, Haidong, Lan Shu, and Shilong Liao. "Intuitionistic Fuzzy Soft Rough Set and Its Application in Decision Making." Abstract and Applied Analysis 2014 (2014): 1–13. http://dx.doi.org/10.1155/2014/287314.

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The soft set theory, originally proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainty. In this paper, we present concepts of soft rough intuitionistic fuzzy sets and intuitionistic fuzzy soft rough sets, and investigate some properties of soft rough intuitionistic fuzzy sets and intuitionistic fuzzy soft rough sets in detail. Furthermore, classical representations of intuitionistic fuzzy soft rough approximation operators are presented. Finally, we develop an approach to intuitionistic fuzzy soft rough sets based on decision making and a numerical examp

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Ersoy, B. A., S. Onar, K. Hila, and B. Davvaz. "Some Properties of Intuitionistic Fuzzy Soft Rings." Journal of Mathematics 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/650480.

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Maji et al. introduced the concept of intuitionistic fuzzy soft sets, which is an extension of soft sets and intuitionistic fuzzy sets. In this paper, we apply the concept of intuitionistic fuzzy soft sets to rings. The concept of intuitionistic fuzzy soft rings is introduced and some basic properties of intuitionistic fuzzy soft rings are given. Intersection, union, AND, and OR operations of intuitionistic fuzzy soft rings are defined. Then, the deffinitions of intuitionistic fuzzy soft ideals are proposed and some related results are considered.

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Woldie, Masresha Wassie, Jejaw Demamu Mebrat, and Mihret Alamneh Taye. "New Approaches of Generalised Fuzzy Soft sets on fuzzy Codes and Its Properties on Decision-Makings." F1000Research 13 (December 2, 2024): 1461. https://doi.org/10.12688/f1000research.158747.1.

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Background Several scholars defined the concepts of fuzzy soft set theory and their application on decision-making problem. Based on this concept, researchers defined the generalised fuzzy soft set and its applications. However, to the best of the author’s knowledge, the generalised fuzzy soft set has not been dealing with in the generalised fuzzy soft code set. In this paper, we introduce the notion of generalised fuzzy soft code set and its application. Methods The theory of fuzzy soft sets and its application, generalised fuzzy soft sets and fuzzy codes in different years were studied with

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Woldie, Masresha Wassie, Jejaw Demamu Mebrat, and Mihret Alamneh Taye. "New Approaches of Generalised Fuzzy Soft sets on fuzzy Codes and Its Properties on Decision-Makings." F1000Research 13 (April 9, 2025): 1461. https://doi.org/10.12688/f1000research.158747.2.

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Background Several scholars defined the concepts of fuzzy soft set theory and their application on decision-making problem. Based on this concept, researchers defined the generalised fuzzy soft set and its applications. However, to the best of the author’s knowledge, the generalised fuzzy soft set has not been dealing with in the generalised fuzzy soft code set. In this paper, we introduce the notion of generalised fuzzy soft code set and its application. Methods The theory of fuzzy soft sets and its application, generalised fuzzy soft sets and fuzzy codes in different years were studied with

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Feng, Feng, Hamido Fujita, Young Bae Jun, and Madad Khan. "Decomposition of Fuzzy Soft Sets with Finite Value Spaces." Scientific World Journal 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/902687.

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The notion of fuzzy soft sets is a hybrid soft computing model that integrates both gradualness and parameterization methods in harmony to deal with uncertainty. The decomposition of fuzzy soft sets is of great importance in both theory and practical applications with regard to decision making under uncertainty. This study aims to explore decomposition of fuzzy soft sets with finite value spaces. Scalar uni-product and int-product operations of fuzzy soft sets are introduced and some related properties are investigated. Usingt-level soft sets, we define level equivalent relations and show that

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Hijriati, Na'imah, Irma Sari Yulianti, Dewi Sri Susanti, and Dewi Anggraini. "THE CONSTRUCTION OF SOFT SETS FROM FUZZY SUBSETS." BAREKENG: Jurnal Ilmu Matematika dan Terapan 17, no. 3 (2023): 1473–82. http://dx.doi.org/10.30598/barekengvol17iss3pp1473-1482.

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Molodtsov introduced the concept of soft sets formed from fuzzy subsets in 1999. The soft set formed from a fuzzy subset is a particular form of a soft set on its parameter set. On a soft set formed from a fuzzy subset, the parameter used is the image of a fuzzy subset which is then mapped to the collection of all subsets of a universal set. This research explains the construction of soft sets formed from fuzzy subsets. We provide the sufficient condition that a soft set formed from a fuzzy subset is a subset of another soft set. Also, give some properties of the soft sets formed from a fuzzy

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Mahmood, Tahir, Muhammad Irfan Ali, Muhammad Aamir Malik, and Waseem Ahmed. "On lattice ordered intuitionistic fuzzy soft sets." International Journal of Algebra and Statistics 7, no. 1-2 (2018): 46–61. http://dx.doi.org/10.20454/ijas.2018.1434.

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Lattices, soft sets, fuzzy sets and their generalizations have always been important for Mathematicians and the researchers working on uncertaities. In this paper our aim is to introduce the concept of lattice ordered intuitionistic fuzzy soft sets. After introducing extended union, extended intersection, AND-product, OR-product, basic union, basic intersection of intuitionistic fuzzy soft sets, in this paper the affects of lattice ordered intuitionistic fuzzy soft sets and anti-lattice ordered intuitionistic fuzzy soft sets on restricted union, restricted intersection, extended union, extende

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Nithya., A. "Operations on Intuitionisitc Fuzzy Soft Sets Based on First Zadeh's Logical Operators." International Journal of Trend in Scientific Research and Development 3, no. 1 (2018): 897–99. https://doi.org/10.31142/ijtsrd18986.

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In this paper, we have defined First Zadeh's intuitionistic fuzzy conjunction and intuitionistic fuzzy disjunction of two intuitionistic fuzzy soft sets. The author also defined some of their basic properties of intuitionistic fuzzy disjunction and conjunction with some examples. Nithya. A "Operations on Intuitionisitc Fuzzy Soft Sets Based on First Zadeh's Logical Operators" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-1 , December 2018, URL: https://www.ijtsrd.com/papers/ijtsrd18986.pdf

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Mareay, R., Radwan Abu-Gdairi, and M. Badr. "Soft rough fuzzy sets based on covering." AIMS Mathematics 9, no. 5 (2024): 11180–93. http://dx.doi.org/10.3934/math.2024548.

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<abstract><p>Soft rough fuzzy sets ($ \mathcal SRFSs $) represent a powerful paradigm that integrates soft computing, rough set theory, and fuzzy logic. This research aimed to comprehensively investigate the various dimensions of $ \mathcal SRFSs $ within the domain of approximation structures. The study encompassed a wide spectrum of concepts, ranging from covering approximation structures and soft rough coverings to soft neighborhoods, fuzzy covering approximation operators, and soft fuzzy covering approximation operators. We introduced three models of $ \mathcal SRFSs $ based on

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Anwar, Anwar, and Ayman A. Hazaymeh. "Time Fuzzy Parameterized Fuzzy Soft Expert Sets." International Journal of Neutrosophic Science 25, no. 4 (2025): 101–21. https://doi.org/10.54216/ijns.250409.

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Finally In this study, we define parameterized time fuzzy soft expert set (PTFSES) as an extension of fuzzy soft set. Additionally, we will clarify and investigate the characteristics of its primary operation (complement, union intersection, ”AND” and ”OR”). , we’ll apply this approach to decision-making difficulties.

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Khan, Muhammad, Poom Kumam, Shahzaib Ashraf, and Wiyada Kumam. "Generalized Picture Fuzzy Soft Sets and Their Application in Decision Support Systems." Symmetry 11, no. 3 (2019): 415. http://dx.doi.org/10.3390/sym11030415.

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In this paper, a generalized picture fuzzy soft set is proposed, which is an extension of the picture fuzzy soft sets. We investigate the basic properties of picture fuzzy soft sets and define an F-subset, M-subset, extended union, extended intersection, restricted union, restricted intersection and also prove the De Morgan’s laws for picture fuzzy soft information. We investigate upper and lower substitution for both picture fuzzy sets and generalized picture fuzzy soft sets. Meanwhile, the related proofs are given in detail. Finally, we propose an algorithm to deal with generalized picture f

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Ameri, R., M. Norouzi, and H. Hedayati. "Application of fuzzy sets and fuzzy soft sets in hypermodules." Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas 107, no. 2 (2012): 327–38. http://dx.doi.org/10.1007/s13398-012-0075-5.

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J . Jayasudha. "Plithogenic Hesitant Fuzzy Soft Sets." Advances in Nonlinear Variational Inequalities 28, no. 7s (2025): 361–72. https://doi.org/10.52783/anvi.v28.4531.

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Plithogenic sets are used extensively in decision-making processes because of their versatility. In this paper we introduced the concept of Plithogenic Hesitant Fuzzy Soft Sets (P-HFSSs) .The paper also discusses other fundamental operations like union, intersection, compliment and some set theoretical operations on Plithogenic Hesitant Fuzzy Soft Sets. Further it investigates a similarity measure between two P-HFSSs.

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Khalil, Shuker Mahmood, Mayadah Ulrazaq, Samaher Abdul-Ghani та Abu Firas Al-Musawi. "σ-Algebra and σ-Baire in Fuzzy Soft Setting". Advances in Fuzzy Systems 2018 (2 липня 2018): 1–10. http://dx.doi.org/10.1155/2018/5731682.

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We first introduce some new notions of Baireness in fuzzy soft topological space (FSTS). Next, their characterizations and basic properties are investigated in this work. The notions of fuzzy soft dense, fuzzy soft nowhere dense, fuzzy soft meager, fuzzy soft second category, fuzzy soft residual, fuzzy soft Baire, fuzzy soft δ-sets, fuzzy soft λσ-sets, fuzzy soft σ-nowhere dense, fuzzy soft σ-meager, fuzzy soft σ-residual, fuzzy soft σ-Baire, fuzzy soft σ-second category, fuzzy soft σ-residual, fuzzy, fuzzy soft submaximal space, fuzzy soft P-space, fuzzy soft almost resolvable space, fuzzy so

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Tarrannum, Zeba, and Anil P. Narappanavar. "Fuzzy Soft Generalized Closed Sets in Fuzzy Soft Topological Spaces." International Journal of Applied Engineering Research 14, no. 3 (2019): 633. http://dx.doi.org/10.37622/ijaer/14.3.2019.633-636.

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Kandil, A., O. A. El-Tantawy, S. A. El-Sheikh, and Sawsan S. S. El-Sayed. "Fuzzy soft connected sets in fuzzy soft topological spaces II." Journal of the Egyptian Mathematical Society 25, no. 2 (2017): 171–77. http://dx.doi.org/10.1016/j.joems.2017.01.006.

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R., Rajeswari. "HESITANT FUZZY SOFT GRAPH." International Journal of Current Research and Modern Education, Special Issue (August 20, 2017): 104–7. https://doi.org/10.5281/zenodo.845905.

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Fuzzy sets and soft sets are two different soft computing models for representing vagueness and uncertainty. We apply these soft computing models in combination to study vagueness and uncertainty in graphs. We introduce the notions of hesitant fuzzy soft graphs, strong hesitant fuzzy soft graphs, complete hesitant fuzzy soft graphs, order of hesitant fuzzy soft graphs, and size of hesitant fuzzy soft graphs.

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