Neutrosophic Extension of N-soft Set and Similarity-Based Decision-Making

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Turkish Journal of Mathematics and Computer Science
Volume:13 Issue:2
Neutrosophic Extension of N-soft Set and Similarity-Based Decision-Making

Neutrosophic Extension of N-soft Set and Similarity-Based Decision-Making

Authors : Naime DEMİRTAŞ, Orhan DALKILIÇ

Pages : 294-309

Doi:10.47000/tjmcs.930717

View : 41 | Download : 5

Publication Date : 2021-12-31

Article Type : Research Paper

Abstract :In this paper, the extension of N-soft sets, which is a very important mathematical model in non-binary evaluations to overcome uncertainty, under neutrosophic logic are studied and neutrosophic N-soft sets are introduced and are motivated. This new mathematical model, which deals with neutrosophic logic and N-soft set, which have been studied extensively in recent years to overcome uncertainty, aims to express the uncertainty situations encountered in the best way and thus approach the ideal in decision making. Moreover, some fundamental properties, products and useful operations are given for this new mathematical model. Then, we defined distance measures between two neutrosophic N-soft sets and expressed similarity measures based on decision making problem. Finally, an application is given that illustrates how uncertainty situations can be expressed in a decision-making problem by using the suggested similarity measures.
Keywords : Neutrosophic N soft set, Distance measures, Similarity measures, decision making

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