Abstract The paper aims to present an integrated approach solve the decision-making problem under probabilistic hesitant fuzzy information (PHFI) features, which is extension of set. considered PHFI not only allows multiple opinions, but also associates occurrence probability each opinion, increases reliability information. Motivated by these features PHFI, presented decision with partial known...

Fuzzy set theory provides a framework in which natural language expressions can be modelled mathematically, thereby even taking the vagueness of linguistic terms into account. In fuzzy systems a linguistic term (e.g. fast) is represented by a fuzzy set, while a linguistic modifier (e.g. very) is modelled by an operator (also known as hedge) transforming a fuzzy set into another. In the paper fi...

The intuitionistic hesitant fuzzy set (IHFS) is an enriched version of sets (HFSs) that can cover both (FSs) and (IFSs). By assigning membership non-membership grades as subsets [0, 1], the IHFS model handle situations more proficiently. Another related theory pair analysis (SPA), which considers certainties uncertainties a cohesive system represents them from three aspects: identity, discrepan...

Selecting the most suitable alternative under uncertainty is considered as a critical decision-making problem that affects the success of organizations. In the selection process, there are a number of assessment criteria, considered by a group of decision makers, which often could be established in a multi-level hierarchy structure. The aim of this paper is to introduce a new hierarchical multi...

Interpretation of outputs of fuzzy systems often involves the use of linguistic approximation that assigns a linguistic label to a fuzzy set based on the predefined primary terms, linguistic modifiers and linguistic connectives. More formally linguistic approximation can be considered in the terms of retranslation rules that correspond to the translation rules in explicitation in computing with...