The concept of trapezoidal valued hesitant fuzzy set is introduced. Notion for distance between any two trapezoidal valued hesitant fuzzy elements is given. Using this proposed distance measure, we extend the technique for order preference by similarity to ideal solution for trapezoidal valued hesitant fuzzy sets. An example is constructed to show usefulness of this extension for multicriteria ...

Abstract How to select the optimal strategy compete with rivals is one of hottest issues in multi-attribute decision-making (MADM) field. However, most MADM methods not only neglect characteristics competitors’ behaviors but also just obtain a simple ranking result cannot reflect feasibility each strategy. To overcome these drawbacks, two-person non-cooperative matrix game method based on hybri...

The T-spherical fuzzy set (TSFS) is a modification of the (FS), intuitionistic (IFS), Pythagorean (PyFS), q-rung orthopair (q-ROFS), and picture (PFS), with three characteristic functions: membership degree (MD) denoted by S, nonmembership (NMD) D, abstinence (AD) I. It can be used to solve problems uncertain information no restrictions. distance measure (DM) tool that sums up difference betwee...

The concept of dual hesitant fuzzy sets (DHFSs), which was first introduced as a new extension of fuzzy sets and hesitant fuzzy sets in 2012, is a useful tool to deal with the vagueness and ambiguity in many practical problems under hesitant fuzzy environment. Normally, we use the definition of distance to describe the relationship of two DHFSs. However, considering that the existing distance m...

The purpose of this paper is to extend a new balancing and ranking method to handle uncertainty for a multiple attribute analysis under a hesitant fuzzy environment. The presented hesitant fuzzy balancing and ranking (HF-BR) method does not require attributes’ weights through the process of multiple attribute decision making (MADM) under hesitant conditions. For the rating of possible alternati...

The q-rung Orthopair fuzzy set (QROFS) is one of the structures which can introduce more information than other frames proposed by Ronald R. Yager. In this article, dynamic multiple attribute decision making (DMADM) approach with complex (CQROF) has been introduced. ideas CQROF variable and uncertain variables are defined introduced new weighted averaging (DWA) operators called average (DCQROFW...

The T-Spherical Fuzzy set (T-SPHFS) is one of the core simplifications quite a lot fuzzy concepts such as (FS), intuitionistic (ITFS), picture (PIFS), Q-rung orthopair (Q-RUOFS), etc. T-SPHFS reveals judgment by degree positive membership, abstinence, negative and refusal with relaxed conditions, this more powerful mathematical tool to pair inconsistent, indecisive, indistinguishable informatio...