The classical TODIM method solves problems by expressing the attribute values as crisp numbers, thus incurring information loss. This paper, noting ambiguity and fuzziness of especially in a probabilistic hesitant fuzzy environment, develops dynamic emergency decision-making based on hybrid weighted distance. is suitable for it supports rapidity evolving nature responses, accommodates uncertain...

The aim of this paper is to present a fuzzy counterpart method of constructing the Hausdorff quasi-uniformity of a crisp quasi-uniformity. This process, based on previous works due to Morsi cite{Morsi94} and Georgescu cite{Georgescu08}, allows to extend probabilistic and Hutton $[0,1]$-quasi-uniformities on a set $X$ to its power set.  In this way, we obtain an endofunctor for each one of the c...

In this paper, we refine the definition of weighted hesitant fuzzy set (WHFS), the concept that allows the membership of a given element is defined in terms of several possible values together with their importance weight, and then introduce some correlation measures for WHFSs. To illustrate the application of proposed correlation measures for WHFSs, we give a practical example in medical diagn...

With the deepening of uncertainty and fuzziness people’s understanding things, it becomes more convenient to use fuzzy decision making in evaluating schemes. These schemes not only include quantitative data but also consider evaluation information. In theory, Pythagorean set is extended, both which are less than or equal 1, increases scope application. This paper mainly studies selection green ...

Certain scholars have generalized the theory of fuzzy set, but picture hesitant set (PHFS) has received massive attention from distinguished scholars. PHFS is combination (PFS) and (HFS) to cope with awkward complicated information in real-life issues. The well-known characteristic that sum maximum membership, abstinence, non-membership degree limited unit interval. This manuscript aims develop...