A Dynamic Distance Measure of Picture Fuzzy Sets and Its Application

Weighted similarity measure on interval-valued fuzzy sets and its application to pattern recognition

A new approach to define the similarity measure betweeninterval-valued fuzzy sets is presented. The proposed approach isbased on a weighted measure in which the normalized similaritiesbetween lower functions and also between upper functions arecombined by a weight parameter. The properties of this similaritymeasure are investigated. It is shown that, the proposed measurehas some advantages in c...

Revision of a fuzzy distance measure

Dynamic Similarity Measures between Intuitionistic Fuzzy Sets and Its Application

Although many measures of similarity between intuitionistic fuzzy set (IFS) have been proposed in the literature, some existing similarity measures are not always effective in some cases. A main reason is that existing similarity measures have not or little considered degree of hesitancy in intuitionistic fuzzy set. In this paper, based on this foundation that the degree of hesitancy in intuiti...

A modification of probabilistic hesitant fuzzy sets and its application to multiple criteria decision making

Probabilistic hesitant fuzzy set (PHFS) is a fruitful concept that adds to hesitant fuzzy set (HFS) the term of probability which is able to retain more information than the usual HFS. Here, we demonstrate that the existing definitions of PHFS are not still reasonable, and therefore, we first improve the PHFS definition. By endowing the set and algebraic operations with a new re-definition of P...

Some properties of a new fuzzy distance measure