In this paper, a new soft computing group decision method based on the concept of compromise ratio is introduced for determining decision makers (DMs)' weights through the group decision process under uncertainty. In this method, preferences and judgments of the DMs or experts are expressed by linguistic terms for rating the industrial alternatives among selected criteria as well as the relativ...

Abstract The complex q-rung orthopair fuzzy (CQ-ROF) set can describe the uncertain information. In this manuscript, we develop Yager operational laws based on CQ-ROF information and t-norm t-conorm. Furthermore, in aggregating values, power, averaging, geometric aggregation operators have played a very essential critical role environment of set. Inspired from discussed operators, propose power...

Dual hesitant fuzzy sets (DHFSs), originally introduced by Zhu et al. [23], are a new tool to handle fuzziness considering the membership and nonmembership degrees by a set of possible values respectively. As a more comprehensive set, DHFSs have close relationship with the existing fuzzy sets, including the Zadeh’s fuzzy set, Atanassov’s intuitionistic fuzzy set, and hesitant fuzzy set, etc. An...

Hesitant fuzzy linguistic decision making is a focus point in linguistic decision making, in which the main method is based on preference ordering. This paper develops a new hesitant fuzzy linguistic TOPSIS method for group multi-criteria linguistic decision making; the method is inspired by the TOPSIS method and the preference degree between two hesitant fuzzy linguistic term sets (HFLTSs). To...

The q-rung linear Diophantine fuzzy set is a recently developed tool to handle with uncertain and awkward information in real-life issues applicable where reference parameter-based opinions. Similarity measures are distance dimensions representing features of the objects. Keeping advantages above analysis, this paper proposes similarity based on exponential function for sets thus presents first...

We introduce the concepts of entropy and cross-entropy for hesitant fuzzy information, and discuss their desirable properties. Several measure formulas are further developed, and the relationships among the proposed entropy, cross-entropy, and similarity measures are analyzed, from which we can find that three measures are interchangeable under certain conditions. Then we develop two multiattri...