Open Access

ARTICLE

New Multi-layer Method for Z-number Ranking Using Hyperbolic Tangent Function and Convex Combination

Somayeh Ezadi^a, Tofigh Allahviranloo^b

^a Department of Applied Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran;
^b Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

* Corresponding Author: Tofigh Allahviranloo,

Intelligent Automation & Soft Computing 2018, 24(1), 217-221. https://doi.org/10.1080/10798587.2017.1367146

Abstract

Many practical applications, under the definitive evolutionary state of the nature, the consequences of the decisions, mental states of a decision maker are required. Thus, the need is for a new concept in the analysis of decision-making. Zadeh has introduced this concept as the Z-number. Because the concept is relatively new, Z-number in fuzzy sets, hence, its basic theoretical aspects are yet undetermined. This paper presents a method for ranking Z-numbers. Hence, we propose a new method for ranking fuzzy numbers based on that of hyperbolic tangent function and convex combination. Then, using the same technique we propose a method for ranking Z-numbers.

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Keywords

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