Ranking fuzzy numbers using preference ratio: A utility function approach

Abstract

Ranking fuzzy numbers is one of the most important phases in any decision making process in fuzzy environments. In most cases, we deal with fuzzy numbers in the field of evaluating alternatives with fuzzy information or linguistic variables. This paper investigates ranking fuzzy numbers using the concept of preference ratio, introduces the weakness of this method, and proposes a new approach that overcomes the shortcoming of existing method. The proposed approach which is based on the concept of utility function takes the opinion of DM for ranking fuzzy numbers into account.

Generalized Algorithms of Discrete Optimization and Their Power Engineering Applications

“…The review of techniques which have been developed for ranking of fuzzy numbers can be found in [32]. This study covers the analysis of the fuzzy ranking indices proposed before 1998 (among more recent works in this field, it is possible to distinguish, for instance, [35] [36]).…”

An application of fuzzy TOPSIS on ranking products: A case study of faucet devices

“…Ranking different alternatives has become one of the most important issues among decision makers and there are various studies associated with ranking industrial products (Sadi-Nezhad & Shahnazari-Shahrezaei, 2013). Technique of ranking by similarity by positive ideal solution (TOPSIS) is one of the most popular techniques for ranking various alternatives (Hwang & Yoon, 1981;Zaheri et al, 2012).…”