Notion Of Fuzzy Soft Set Research Articles

The notion of fuzzy soft sets in medical ailment diagnosis

People deal with the complexities of uncertain data; the most effective method for coping with uncertainty is the fuzzy set theory (Uncertain Sets) developed by Zadeh in 1965. This paper proposes a method to examine Sanchez’s medical diagnosis approach using Fuzzy Soft Complement in addition to a matrix representation of Fuzzy Soft Collection. Medical data from a particular hospital in Lagos, Nigeria, were collected and tested for diarrhea, cholera, and dysentery.

Fuzzy soft set over a fuzzy topological space

The aim of this article, we combine the fuzzy soft set and fuzzy topological space. We introduce the notion of fuzzy soft set over common universe of fuzzy topological space. We defined quasi-open fuzzy soft set over fuzzy topological space and we study the properties of extended union of two quasi-open fuzzy soft set over fuzzy topological space. We study “OR” and “AND” operations of quasi-open fuzzy soft set over fuzzy topological space. We also define open fuzzy soft set, b-open fuzzy soft set and b-closed fuzzy soft set over fuzzy topological space. We give some characterizations of these concepts.

Factor Group of a Fuzzy Soft Group

In this paper we study Molodtsov's notion of Fuzzy Soft Sets considering the fact that the parameters(which are words or sentences) are mostly fuzzy hedges or fuzzy parameters. We discuss and study the properties and structural characteristics of fuzzy soft groups and normal fuzzy soft groups. Then we define the left coset, right coset and middle coset of a fuzzy soft group and prove some important results on them. Finally we present factor group of a fuzzy soft group.

Decomposition of Fuzzy Soft Sets with Finite Value Spaces

The notion of fuzzy soft sets is a hybrid soft computing model that integrates both gradualness and parameterization methods in harmony to deal with uncertainty. The decomposition of fuzzy soft sets is of great importance in both theory and practical applications with regard to decision making under uncertainty. This study aims to explore decomposition of fuzzy soft sets with finite value spaces. Scalar uni-product and int-product operations of fuzzy soft sets are introduced and some related properties are investigated. Using t-level soft sets, we define level equivalent relations and show that the quotient structure of the unit interval induced by level equivalent relations is isomorphic to the lattice consisting of all t-level soft sets of a given fuzzy soft set. We also introduce the concepts of crucial threshold values and complete threshold sets. Finally, some decomposition theorems for fuzzy soft sets with finite value spaces are established, illustrated by an example concerning the classification and rating of multimedia cell phones. The obtained results extend some classical decomposition theorems of fuzzy sets, since every fuzzy set can be viewed as a fuzzy soft set with a single parameter.