Neutrosophic Soft Expert Multiset and Their Application to Multiple Criteria Decision Making

Bakbak, Derya; Uluçay, Vakkas; Şahin, Mehmet

doi:10.3390/math7010050

Cited by 10 publications

(3 citation statements)

References 33 publications

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“…The concept of neutrosophic set theory was introduced by Smarandache [1] as a new mathematical method that corresponds to the indeterminacy degree (uncertainty, etc.). Bakbak et al [2] and Mishra et al [3] applied the soft set theory successfully applied in several This work is licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. areas, such as the smoothness of functions, as well as architecture-based, neuro-linguistic programming.…”

Section: Introductionmentioning

confidence: 99%

On Single Valued Neutrosophic Regularity Spaces

Saber¹,

Alsharari²,

Smarandache³

et al. 2022

Computer Modeling in Engineering &Amp; Sciences

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This article aims to present new terms of single-valued neutrosophic notions in the Šostak sense, known as singlevalued neutrosophic regularity spaces. Concepts such as r-single-valued neutrosophic semi £-open, r-single-valued neutrosophic pre-£-open, r-single valued neutrosophic regular-£-open and r-single valued neutrosophic α£-open are defined and their properties are studied as well as the relationship between them. Moreover, we introduce the concept of r-single valued neutrosophic θ£-cluster point and r-single-valued neutrosophic γ £-cluster point, r-θ£closed, and θ£-closure operators and study some of their properties. Also, we present and investigate the notions of r-single-valued neutrosophic θ£-connectedness and r-single valued neutrosophic δ£-connectedness and investigate relationship with single-valued neutrosophic almost £-regular. We compare all these forms of connectedness and investigate their properties in single-valued neutrosophic semiregular and single-valued neutrosophic almost regular in neutrosophic ideal topological spaces in Šostak sense. The usefulness of these concepts are incorporated to multiple attribute groups of comparison within the connectedness and separateness of θ£ and δ£.

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Section: Introductionmentioning

confidence: 99%

On Single Valued Neutrosophic Regularity Spaces

Saber¹,

Alsharari²,

Smarandache³

et al. 2022

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

show abstract

“…The idea of neutrosophy is initiated by Smarandache [1] in 1999 as a new mathematical approach that corresponds to degree of indeterminacy (uncertainty, etc.). Moreover, the soft set theory was successfully applied to several directions, such as smoothness of functions and architecture-based neuro-linguistic programming (NLP) in the papers of Bakbak et al [2] and Mishra et al [3]. The concept of continuous mappings plays a crucial role in many branches of mathematics, such as, fuzzy set theory, algebra and quantum gravity (see [4]).…”

Section: Introductionmentioning

confidence: 99%

On Single-Valued Neutrosophic Closure Spaces

Alsharari

2021

Symmetry

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This paper aims to mark out new terms of single-valued neutrosophic notions in a Šostak sense called single-valued neutrosophic semi-closure spaces. To achieve this, notions such as β£-closure operators and β£-interior operators are first defined. More precisely, these proposed contributions involve different terms of single-valued neutrosophic continuous mappings called single-valued neutrosophic (almost β£, faintly β£, weakly β£) and β£-continuous. Finally, for the purpose of symmetry, we define the single-valued neutrosophic upper, single-valued neutrosophic lower and single-valued neutrosophic boundary sets of a rough single-valued neutrosophic set αn in a single-valued neutrosophic approximation space (F˜,δ). Based on αn and δ, we also introduce the single-valued neutrosophic approximation interior operator intαnδ and the single-valued neutrosophic approximation closure operator Clαnδ.

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“…Furthermore, neutrosophic logic is a generalization of fuzzy logic [2] and intuitionistic fuzzy logic [3] since fuzzy and intuitionistic fuzzy logic's membership, non-membership degrees are defined dependently. Thus, many researchers have obtained new structures and new applications on neutrosophic logic and sets [4][5][6][7][8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Neutrosophic Modeling of Talcott Parsons’s Action and Decision-Making Applications for It

2020

Self Cite

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The grand theory of action of Parsons has an important place in social theories. Furthermore, there are many uncertainties in the theory of Parsons. Classical math logic is often insufficient to explain these uncertainties. In this study, we explain the grand theory of action of Parsons in neutrosociology for the first time. Thus, we achieve a more effective way of dealing with the uncertainties in the theory of Parsons as in all social theories. We obtain a similarity measure for single-valued neutrosophic numbers. In addition, we show that this measure of similarity satisfies the similarity measure conditions. By making use of this similarity measure, we obtain applications that allow finding the ideal society in the theory of Parsons within the theory of neutrosociology. In addition, we compare the results we obtained with the data in this study with the results of the similarity measures previously defined. Thus, we have checked the appropriateness of the decision-making application that we obtained.

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Neutrosophic Soft Expert Multiset and Their Application to Multiple Criteria Decision Making

Cited by 10 publications

References 33 publications

On Single Valued Neutrosophic Regularity Spaces

On Single Valued Neutrosophic Regularity Spaces

On Single-Valued Neutrosophic Closure Spaces

Neutrosophic Modeling of Talcott Parsons’s Action and Decision-Making Applications for It

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