New Tanino's Additive Consistency Trapezoidal Fuzzy Extension and Optimal Fuzzy Priority Vector Acquisition

• Published in: IEEE transactions on fuzzy systems Vol. 31; no. 10; pp. 1 - 12
• Main Author: Wang, Zhou-Jing
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.10.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Additive consistency; Additives; Analytic hierarchy process; Arithmetic; Closed-form solution; Consistency; Decision analysis; Decision making; Decision theory; Formulas (mathematics); Imprecision; Indexes; Linear program; Linguistics; Mathematical models; Matrix algebra; Matrix converters; Minimization; Multi-criteria decision making; Multiple criterion; Multiplication; Optimization; Parameter identification; Subtraction; Trapezoidal fuzzy additive reciprocal preference matrix

Multiplication and division of fuzzy arithmetic have brought out theoretical drawbacks to fuzzy analytic hierarchy process based decision making systems. To cope with the drawbacks, trapezoidal fuzzy additive reciprocal preference matrices (TFARPMs) are utilized to characterize preference informatio...