Inverse fuzzy soft set and its application in decision making

Khalil, Ahmed Mostafa; Hassan, Nasruddin

doi:10.1504/ijids.2019.10017109

Cited by 7 publications

(2 citation statements)

References 32 publications

(40 reference statements)

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“…The examples of the extension of soft expertise can be viewed in [12]. An inverse fuzzy soft set alongside it's own characteristics, operations and features was introduced by Khalil et al [15]. An algorithm is developed and it is used to apply an inverse fuzzy soft set to a problem involving decision-making.…”

Section: Introductionmentioning

confidence: 99%

Symmetric Matrices on Inverse Soft Expert Sets and Their Applications

2023

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The role of experts in decision-making is highly significant. The soft expert set (SES) is yet another milestone, as it plays a vital role in generalizing soft set theory. Soft expert set is creative and original because it involves more than one expert. This served as a driving force behind the creation of the current work. The present paper generalizes the framework of soft experts set to the inverse soft setting, namely the inverse soft expert set (ISES). Some captivating characteristic features of the soft expert set (SES) are established. On the inverse soft expert sets, numerous striking characteristics of symmetric matrices are presented. The ground-breaking idea of symmetric matrices on inverse soft expert sets (SMISES) is introduced. A MCDM problem for SMISES is described with an algorithm and interesting comparative analysis.

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Section: Introductionmentioning

confidence: 99%

Symmetric Matrices on Inverse Soft Expert Sets and Their Applications

2023

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“…Maji et al [28] defned the theory of fuzzy soft set (FSST), which was followed by research on picture FSST theory [29], time-neutrosophicS Set theory [30,31], possibility m-polarFSST theory [32], generalized intuitionistic FSST theory [33], inverse FSST theory [34], interval-valued picture FSST theory [35], generalized belief interval-val-uedS Set theory [36], and generalized picture FSST theory [37]. Aygünoglu and Aygün [38] explored fuzzy soft groups and discussed the applications of FSST to group theory.…”

Section: Introductionmentioning

confidence: 99%

A Novel Characterization of Fuzzy Soft Substructures in Quantales Theory

et al. 2023

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In this paper, we use an algebraic structure quantale and define the idea of fuzzy soft substructures as a generalization of fuzzy substructures in quantale. These fuzzy soft substructures include fuzzy soft subquantales, fuzzy soft ideals, fuzzy soft prime ideals, fuzzy soft semiprime ideals, and fuzzy soft primary ideals. Furthermore, different characterizations of fuzzy soft substructures in quantales are introduced. Moreover, we extend this ideology to investigate that for each fuzzy soft substructure in quantale, there exists an α-soft substructure in quantales. These fuzzy soft subquantales and fuzzy soft ideals are characterized by their level subquantales and ideals, respectively. Finally, fuzzy soft image and fuzzy soft inverse image of fuzzy soft substructures under quantale homomorphism in quantale are discussed.

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On Soft Quantum B-Algebras and Fuzzy Soft Quantum B-Algebras

Zhang

Aljahdali

Khalil

2021

Journal of Mathematics

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This paper aims to make a combination between the quantum B-algebras (briefly, X - A s) and two interesting theories (e.g., soft set theory and fuzzy soft set theory). Firstly, we propose the novel notions of soft quantum B-algebras (briefly, S ℚ B - A s), a soft deductive system of ℚ B - A s, and deducible soft quantum B-algebras (briefly, DS ℚ B - A s). Then, we discuss the relationship between S ℚ B - A s and DS ℚ B - A s. Furthermore, we investigate the union and intersection operations of DS ℚ B - A s. Secondly, we introduce the notions of a fuzzy soft quantum B-algebras (briefly, FS ℚ B - A s), a fuzzy soft deductive system of ℚ B - A s, and present some characterizations of FS ℚ B - A s, along with several examples. Finally, we explain the basic properties of homomorphism image of FS ℚ B - A s.

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Inverse fuzzy soft set and its application in decision making

Cited by 7 publications

References 32 publications

Symmetric Matrices on Inverse Soft Expert Sets and Their Applications

Symmetric Matrices on Inverse Soft Expert Sets and Their Applications

A Novel Characterization of Fuzzy Soft Substructures in Quantales Theory

On Soft Quantum B-Algebras and Fuzzy Soft Quantum B-Algebras

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