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Soft set theory—First results

TLDR
The main purpose of this paper is to introduce the basic notions of the theory of soft sets, to present the first results of the the theory, and to discuss some problems of the future.
Abstract
The soft set theory offers a general mathematical tool for dealing with uncertain, fuzzy, not clearly defined objects. The main purpose of this paper is to introduce the basic notions of the theory of soft sets, to present the first results of the theory, and to discuss some problems of the future.

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Correlation Measure for Neutrosophic Reflned Sets and its application in Medical Diagnosis

Irfan Deli, +1 more
TL;DR: In this paper, the correlation measure of neutrosophic reflned (multi-) sets is proposed and the concept of this correlation measure is the extension of correlation measure and intuitionistic fuzzy multi sets.

Soft generalized closed sets in soft topological spaces

K. Kannan
TL;DR: In this article, a sufficient condition for a soft g-closed set to be a soft closed is presented, and the union and intersection of two soft gclosed sets are discussed.
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Bipolar Neutrosophic Soft Sets and Applications in Decision Making

TL;DR: Neutrosophic set, proposed by Smarandache considers a truth membership function, an indeterminacy membership function and a falsity membership function as mentioned in this paper, is a mathematical framework which has the ability of independency of parameterizations inadequacy, syndrome of fuzzy set, rough set, probability.
Journal ArticleDOI

New Operations of Totally Dependent-Neutrosophic Sets and Totally Dependent-Neutrosophic Soft Sets

TL;DR: The following theorem is proved: all totally dependent-neutrosophic sets determined a generalized De Morgan algebra with respect to type-3 union,type-3 intersection, and complement operations.
Journal ArticleDOI

Soft ideals and generalized fuzzy ideals in semigroups

TL;DR: A soft ideal over a semigroup is a collection of ideals of the semigroup as mentioned in this paper, and the idea of soft ideals of a soft semigroup originates from the notion of soft sets.
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