Generalized Useful Fuzzy Inaccuracy Measure

A New Inaccuracy Measure for Fuzzy Sets and its Application in Multi-Criteria Decision Making

Abstract— In the present paper, a new fuzzy inaccuracy measure is proposed to measure the inaccuracy of a fuzzy set with respect to another fuzzy set. This measure is a modified version of fuzzy inaccuracy proposed in our earlier work. The measure is demonstrated to satisfy some interesting properties, which prepare ground for applications in multi-criteria decision making problems. A method to...

Some New Results on Fuzzy Generalized ‘Useful’ Mean Lengths and Its Bounds

In this paper, we propose a fuzzy generalized ‘useful’ parametric mean length and bounds are obtained in terms of useful fuzzy measure. The bounds obtained are new and some known results are the particular cases of the proposed measure and bounds.

Some New Results on Fuzzy Generalized ‘Useful’ Mean Lengths and Its Bounds

In this paper, we propose a fuzzy generalized ‘useful’ parametric mean length and bounds are obtained in terms of useful fuzzy measure. The bounds obtained are new and some known results are the particular cases of the proposed measure and bounds.

Ranking of generalized fuzzy numbers using distance measure and similarity measure

An improved similarity measure of generalized trapezoidal fuzzy numbers and its application in multi-attribute group decision making

Generalized trapezoidal fuzzy numbers (GTFNs) have been widely applied in uncertain decision-making problems. The similarity between GTFNs plays an important part in solving such problems, while there are some limitations in existing similarity measure methods. Thus, based on the cosine similarity, a novel similarity measure of GTFNs is developed which is combined with the concepts of geometric...