The main purpose of this planned manuscript is to establish an algorithm for the solution multiattribute decision-making (MADM) issues, where experts utilizing linguistic variables provide information about attributes in form picture hesitant fuzzy numbers. So, these kinds we develop TOPSIS under environment using variables, which plays a vital role practical applications, notably MADM decision...

This paper first improves Chen and Hsieh’s definition of generalized fuzzy numbers, which makes it the generalization of definition of fuzzy numbers. Secondly, in terms of the generalized fuzzy numbers set, we introduce two different kinds of orders and arithmetic operations and metrics based on the λ-cutting sets or generalized λ-cutting sets, so that the generalized fuzzy numbers are integrat...

In the present communication, a new concept of cohesive fuzzy set (CHFS) has been proposed as synchronized generalization complex sets and hesitant in systematic way. The novelty introduced notion lies selection best alternative among available multiple favorable situations, where possibility its range is extended unit circle plane. We study relationship between CHFS intuitionistic (CIFS), alon...