triangular intuitionistic fuzzy numbers (tifns) is a special case of intuitionistic fuzzy (if) set and the ranking of tifns is an important problem. the aim of this paper is to develop a new methodology for ranking tifns by using multiattribute decision making methods (madm). in this methodology, the value and ambiguity indices of tifns may be considered as the attributes and the tifns in compa...

When dealing with multi-criteria decision making problems, the concept of Pareto-optimality and Pareto-dominance may be inefficient (e.g. generally multiple solutions exist), especially when there is a large number of criteria. Our paper considers the fuzzy multi-criteria decision making problem based on Zadeh’s linguistic approach to P-optimality and P-dominance. The construction, analysis and...

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...

This paper develops a category-theoretic approach to uncertainty and decision-making problems. It is based on appropriate rst order fuzzy logic in which not only logical connectives but also quantiiers have fuzzy interpretation. It is shown that all fundamental concepts of probability and statistics such as joint distribution, conditional distribution, etc., have meaningful analogs in new conte...

Intuitionistic preference relations constitute a flexible and simple representation format of experts’ preference on a set of alternative options, while at the same time allowing to accommodate degrees of hesitation inherent to all decision making processes. In comparison with fuzzy preference relations, the use of intuitionistic fuzzy preference relations in decision making is limited, which i...