Bipolar N-soft set theory with applications

Kamacı, Hüseyin; Petchimuthu, Subramanian

doi:10.1007/s00500-020-04968-8

Cited by 40 publications

(20 citation statements)

References 22 publications

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“…Saeed et al [29] explored the concept of soft elements and soft members under soft set environment. Kamacı et al [9,10,11,12] developed bijective soft matrix theory with multi-bijective linguistic soft decision, investigated difference operations of soft matrices with applications in decision making system, introduced N -soft algebraic structures, and discussed bipolar N -soft set theory with applications respectively. Petchimuthu et al [23] made valuable discussion on the row-products of inverse soft matrices with application in multicriteria decision making.…”

Section: Introductionmentioning

confidence: 99%

Theory of Bijective Hypersoft Set with Application in Decision Making

Rahman

Saeed

Hafeez

2021

Punjab Univ. j. math.

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Hypersoft set (an extension of soft set) is a new mathematical tool to tackle the inadequacy of soft set for attribute-valued sets. In this study, concept of bijective hypersoft set is proposed and some of its set theoretic operations like restricted-AND and relaxed-AND, are characterized. Moreover, new operations of bijective hypersoft set such as dependency, decision system, significance of decision system, reduced decision system and decision rules in decision system, are discussed with illustrated examples. A decision making algorithm and application are discussed with the support of these proposed operations.

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Section: Introductionmentioning

confidence: 99%

Theory of Bijective Hypersoft Set with Application in Decision Making

Rahman

Saeed

Hafeez

2021

Punjab Univ. j. math.

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“…Alcantud et al [37] interpreted an N-SS approach to rough sets. Kamaci and Petchimuthu [38] defined bipolar N-SS theory with applications. Fatimah and Alcantud [39] presented the multi-fuzzy N-SS and its applications to DM.…”

Section: Introductionmentioning

confidence: 99%

Picture Fuzzy N-Soft Sets and Their Applications in Decision-Making Problems

Rehman

Mahmood

2021

Fuzzy Information and Engineering

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In this article, firstly, we describe picture fuzzy N-soft sets (PFN-SSs) as a generalization of picture fuzzy sets (PFSs) and N-soft sets (N-SS) by observing that one of the essential concept of neutral grade is missing in intuitionistic fuzzy N-SS (IFN-SS) theory. The concept of neutrality grade can be observed in the situation when we encounter human views including more answers of type: yes, abstain, no, refusal. For instance, in election the election commission or election council issues voting papers for the candidate. The voting outcomes are categorized into 4 groups with the number of papers namely, vote for, abstain, vote against, and refusal voting. Further, We define the fundamental properties of PFN-SS and introduce M-subset, F-subset, compliment, intersections, unions, of PFN-SS and give their examples. Secondly, we define an algorithm to cope with PFN-SS data which is more generalized then the algorithm defined for IFN-SS. To show the advantage and usefulness of the defined technique, we give two examples from real life by utilizing PFN-SS data. The result shows in the comparison that our initiated method is more general and suitable than the IFN-SS, fuzzy N-SS (FN-SS), and N-SS.

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“…In recent years, many researchers studied the some theoretical aspects of soft sets 46‐48 and the soft matrix representations 49‐52 . Furthermore, many interesting applications of soft set theory were expanded by embedding the ideas of uncertainty‐based sets 53‐56 . Karaaslan 57 and Maji 58 argued that the fusion of neutrosophic logic into the soft set provides a clearer and intuitive way to explain various issues under uncertain information, and therefore they focused on the idea of (single‐valued) neutrosophic soft set.…”

Section: Introductionmentioning

confidence: 99%

Linguistic single‐valued neutrosophic soft sets with applications in game theory

Kamacı

2021

Int J Intell Syst

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The information based on the tripartite (truth, indeterminacy, and falsity) can be described by single‐valued neutrosophic numbers, but the linguistic information based on these tripartite cannot be represented by single‐valued neutrosophic numbers. To overcome this obstacle, linguistic single‐valued neutrosophic numbers are characterized independently by the truth, indeterminacy, and falsity linguistic variables. In this paper, some new operations are introduced to increase the richness of linguistic fusion based on the linguistic single‐valued neutrosophic approach. The Hamming distance‐based formula is proposed to measure the distance between two linguistic single‐valued neutrosophic numbers. Afterwards, we initiate the theory of linguistic single‐valued neutrosophic soft (LSVNS) set by combining linguistic single‐valued neutrosophic set and soft set. Meanwhile, the different computational functions and desirable properties of LSVNS sets are studied. Furthermore, we construct the framework of LSVNS technique for order preference by similarity to ideal solution (TOPSIS) and then present a game theory model based on this framework. Finally, we give an outstanding example to validate the practicality and effectiveness of the proposed LSVNS TOPSIS‐based game theory model.

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Bipolar N-soft set theory with applications

Cited by 40 publications

References 22 publications

Theory of Bijective Hypersoft Set with Application in Decision Making

Theory of Bijective Hypersoft Set with Application in Decision Making

Picture Fuzzy N-Soft Sets and Their Applications in Decision-Making Problems

Linguistic single‐valued neutrosophic soft sets with applications in game theory

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