Title: A novel method for ranking fuzzy numbers based on the different areas fuzzy number

Authors: Nasser Shahsavari-pour; Azim Heydari; Mojtaba Kazemi; Mehdi Karami

Addresses: Department of Industrial Management, Vali-e-Asr University, Rafsanjan, Iran ' Young Researchers and Elite Club, Kerman Branch, Islamic Azad University, Kerman, Iran ' Young Researchers and Elite Club, Kerman Branch, Islamic Azad University, Kerman, Iran ' University of Medical Sciences, Rafsanjan, Iran

Abstract: Ranking of fuzzy numbers plays a great role in decision-making problems. Fuzzy number comparison is required in decision analysis and fuzzy environment. One major part of fuzzy logic is ranking of the fuzzy numbers. In many fuzzy program systems, fuzzy numbers ranking has an important role in decision making and data analysis. This paper presents a novel method for fuzzy numbers ranking, which performs based on calculation of different parts of right and left of fuzzy numbers. The suggested method consists of simple calculations and is able to calculate all triangular fuzzy numbers (normal and non-normal) and trapezoidal fuzzy numbers (normal and non-normal). In the current study, due to employing analysis of variance method (ANOVA) to regulate the parameters and the approval of parameters' defined value, the results from the rating are guaranteed and have a high quality.

Keywords: fuzzy number ranking; fuzzy logic; trapezoidal fuzzy numbers; triangular fuzzy numbers; ANOVA.

DOI: 10.1504/IJMOR.2017.087745

International Journal of Mathematics in Operational Research, 2017 Vol.11 No.4, pp.544 - 566

Available online: 26 Oct 2017 *

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