Models for MADM with hesitant interval-valued fuzzy information under uncertain environment

Article type: Research Article

Authors: Wang, Hongjun

Affiliations: School of Economics and Management, Chongqing University of Arts and Sciences, Chongqing 402160, China | E-mail: [email protected]

Correspondence: [*] Corresponding author: School of Economics and Management, Chongqing University of Arts and Sciences, Chongqing 402160, China. E-mail: [email protected].

Abstract: This paper is a research of interval-valued fuzzy and Muirhead Mean algorithms. We deduced new algorithms named as hesitant interval-valued fuzzy Muirhead Mean (HIVFMM) and hesitant interval-valued fuzzy Muirhead Mean (HIVFWMM) with Muirhead Mean algorithms based on Hesitant interval-valued fuzzy set (HIVFS). Firstly, we introduced some concepts and operation laws of HIVFS and the formula form of MM, then we combined them both and gave the proof process of properties and theorems, a mathematic model applying to MADM and a numerical example was given to illustrate the effectively and practically.

Keywords: Multiple attribute decision making (MADM), hesitant interval-valued fuzzy set (HIVFS), muirhead mean (MM) algorithm, possibility degree

DOI: 10.3233/KES-210074

Journal: International Journal of Knowledge-based and Intelligent Engineering Systems, vol. 25, no. 3, pp. 315-322, 2021