Similarity Analysis Between Fuzzy Set and Crisp Set

Neutrosophic Crisp Set Theory

Multi-granulation rough set: from crisp to fuzzy case

Multi–granulation is an improvement of the classical rough set theory since it uses a family of binary relations instead of of a single indiscernibility relation for the constructing of approximation. In this paper, the multi–granulation rough set approach is further generalized into fuzzy environment. A family of fuzzy T–similarity relations are used to define the optimistic and pessimistic fu...

Similarity measure between fuzzy set, fuzzy numbers and fuzzy rules using T Fuzzy Assessment Methodology

This paper expresses the prominent futures of fuzzy expert system by applying the algorithm T Fuzzy Assessment Methodology. Fuzzy expert system consists of the following elements such as fuzzification interface, T Fuzzy Assessment Methodology, and defuzzification. T Fuzzy Assessment Methodology uses the K Ratio to find overlapping between membership function and T Fuzzy similarity measure the s...

A RELATION BETWEEN THE CATEGORIES Set * , SetT, Set AND SetT

In this article, we have shown, for the add-point monad T, thepartial morphism category Set*is isomorphic to the Kleisli category SetT. Alsowe have proved that the category, SetT, of T-algebras is isomorphic to thecategory Set of pointed sets. Finally we have established commutative squaresinvolving these categories.

FUZZY SOFT SET THEORY AND ITS APPLICATIONS

In this work, we define a fuzzy soft set theory and its related properties. We then define fuzzy soft aggregation operator that allows constructing more efficient decision making method. Finally, we give an example which shows that the method can be successfully applied to many problems that contain uncertainties.