In decision making, similarity measure and distance between two objects are crucial to be able to determine the relationship between those objects. Many researchers have received much attention for their research on this subject. In this study, we propose two novel similarity measures between hesitant fuzzy linguistic term sets (HFLTSs). In addition, two extensions of Technique for Order of Pre...

As general concepts of sup-hesitant fuzzy right (resp., left, interior, two-sided) ideals semigroups, the sup+α-hesitant and sup-β-hesitant are introduced their properties investigated. Then, established by sets, Łukasiewicz anti-fuzzy Pythagorean hesitant hybrid interval-valued sets cubic sets. Finally, we characterize which is intra-regular, completely regular, simple semigroups or another ty...

In this paper, we investigate the multiple attribute decision making (MADM) problems with fuzzy linguistic information. Motivated by the ideal of generalized Bonferroni mean, we develop the generalized fuzzy linguistic Bonferroni Mean (GFLBM) operator for aggregating the fuzzy linguistic information. For the situations where the input arguments have different importance, we then define the gene...

As meteorological disaster systems are large complex systems, disaster reduction programs must be based on risk analysis. Consequently, judgment by an expert based on his or her experience (also known as qualitative evaluation) is an important link in meteorological disaster risk assessment. In some complex and non-procedural meteorological disaster risk assessments, a hesitant fuzzy linguistic...

The intuitionistic hesitant fuzzy set is a significant extension of the set, specifically designed to address uncertain information in decision-making challenges. Aggregation operators play fundamental role combining numbers into unified component. This study aims introduce two novel approaches. Firstly, we propose three-way model for investors business domain, which utilizes interval-valued eq...

Consistency has always been a hot topic in the study of decision-making based on preference relations. This paper focuses consistency hesitant fuzzy linguistic relations (HFLPRs). Firstly, new definition additive HFLPRs is given. Secondly, to examine whether an HFLPR additively consistent, two equivalent programming models are constructed. Thirdly, for inconsistent HFLPRs, corresponding improve...

The sustainable supplier selection process requires consideration of multi-criteria evaluations. In recent years, to prevent the hesitation of different linguistic expressions by the decision makers, and to help the selection of the best one as the solution of different alternatives, researchers have been using several methods such as hesitant fuzzy linguistic term sets (HFLTS), hesitant fuzzy ...

Having a baby brings new changes and challenges in parents’ life. There is list of things which are required order to provide comfortable life for the baby. Since most people have limited economic resources, determination be bought becomes an important decision parents. Moreover, number alternatives items shopping (bed, clothes, feeding equipment, stroller, etc.) very much. Therefore, making ch...

Intuitionistic fuzzy probabilities are an extension of the concept of probabilities with application in several practical problem solving tasks. The former are probabilities represented through intuitionistic fuzzy numbers, to indicate the uncertainty of the membership and nonmembership degrees in the value assigned to probabilities. Moreover, a dual hesitant fuzzy set (DHFS) is an extension of...

In this paper, motivated by the ideas of dependent weighted aggregation operators, we develop some new hesitant fuzzy dependent weighted aggregation operators to aggregate the input arguments taking the form of hesitant fuzzy numbers rather than exact numbers, or intervals. In fact, we propose three hesitant fuzzy dependent weighted averaging(HFDWA) operators, and three hesitant fuzzy dependent...