Generalized Neutrosophic Soft Set

Broumi, Said

doi:10.5121/ijcseit.2013.3202

Cited by 67 publications

(43 citation statements)

References 8 publications

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“…Then Broumi and Smarandache [9] defined the concept of intuitionistic neutrosophic soft set and studied its properties. Also generalized neutrosophic soft sets has been proposed by Broumi [10]. However, in the literature, there is not any work on entropy measure of a neutrosophic soft set.…”

Section: Introductionmentioning

confidence: 99%

On similarity and entropy of neutrosophic soft sets

Şahin

Küçük

2014

Journal of Intelligent &Amp; Fuzzy Systems

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Molodtsov [35] initiated the soft set theory, which can be used as a generic mathematical tool for dealing with uncertainty. Maji [30] defined the concept of neutrosophic soft set which is based on a combination of the neutrosophic set and soft set models. In this paper, we give the notion of neutrosophic soft set with a new style and present some algebraic properties. We define several distance measures between neutrosophic soft sets and give an axiomatic definition of neutrosophic entropy for a neutrosophic soft set. To find the most ideal alternatives from all possible alternatives, we propose a method based on similarity measure. Thus we can rank all possible alternatives. Finally, the proposed similarity measure is applied to a multicriteria decision making problem.

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Section: Introductionmentioning

confidence: 99%

On similarity and entropy of neutrosophic soft sets

Şahin

Küçük

2014

Journal of Intelligent &Amp; Fuzzy Systems

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“…More detailed explanations related to this subsection may be found in [6,7,9,21,24,27,36]. There is no restriction on the sum of T A (u); I A (u) and…”

Section: Preliminarymentioning

confidence: 99%

“…Some properties of ivn−soft sets which are connected to operations have been established. Some of it is quoted from [6,7,10,9,21,24,27,36].…”

Section: Preliminarymentioning

confidence: 99%

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Interval-valued neutrosophic soft sets and its decision making

Deli̇

2015

Int. J. Mach. Learn. & Cyber.

143

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In this paper, the notion of the interval valued neutrosophic soft sets (ivn−soft sets) is defined which is a combination of an interval valued neutrosophic sets [36] and a soft sets [30]. Our ivn−soft sets generalizes the concept of the soft set, fuzzy soft set, interval valued fuzzy soft set, intuitionistic fuzzy soft set, interval valued intuitionistic fuzzy soft set and neutrosophic soft set. Then, we introduce some definitions and operations on ivn−soft sets sets. Some properties of ivn−soft sets which are connected to operations have been established. Also, the aim of this paper is to investigate the decision making based on ivn−soft sets by level soft sets. Therefore, we develop a decision making methods and then give a example to illustrate the developed approach.

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“…Then, many interesting results of soft set theory have been studied on fuzzy soft sets [8,12,23], on intuitionistic fuzzy soft set theory [14,25], on possibility fuzzy soft set [7], on generalized fuzzy soft sets [26,29], on generalized intuitionistic fuzzy soft [6], on interval-valued intuitionistic fuzzy soft sets [20], on intuitionistic neutrosophic soft set [9], on generalized neutrosophic soft set [10], on fuzzy parameterized soft set theory [17,18], on fuzzy parameterized fuzzy soft set theory [13], on intuitionistic fuzzy parameterized soft set theory [15], on IFP−fuzzy soft set theory [16],on neutrosophic soft set [24].interval-valued neutrosophic soft set [11,19].…”

Section: Introductionmentioning

confidence: 99%