Archimedean Operations-based Interval-valued Hesitant Fuzzy Ordered Weighted Operators and Their Application to Multi-criteria Decision Making
Zhiming Zhang *
College of Mathematics and Information Science, Hebei University, Baoding, Hebei 071002, China.
*Author to whom correspondence should be addressed.
Abstract
In this paper, the Archimedean t-conorm- and t-norm-based interval-valued hesitant fuzzy ordered weighted averaging (A-IVHFOWA) operator and the Archimedean t-conorm- and t-norm-based interval-valued hesitant fuzzy ordered weighted geometric (A-IVHFOWG) operator are given by taking fully account of the different weights associated with the particular ordered positions. Several desirable properties of the developed operators, such as commutativity, idempotency, and boundedness, are studied in detail, and some special cases of these operators are analyzed as well. Furthermore, we apply the proposed operators to develop a method for solving a multi-criteria decision making (MCDM) problem within the context of interval-valued hesitant fuzzy elements (IVHFEs). Finally, a practical example is provided to illustrate the practicality and effectiveness of the developed operators and method.
Keywords: Multi-criteria decision making, Hesitant fuzzy set, Interval-valued hesitant fuzzy set, t-conorm, t-norm, OWA, OWG.