Journal
APPLIED INTELLIGENCE
Volume 48, Issue 1, Pages 46-67Publisher
SPRINGER
DOI: 10.1007/s10489-017-0960-x
Keywords
Group decision making; Multiplicative trapezoidal fuzzy preference relation; Compatibility; COWGA operator
Categories
Funding
- National Natural Science Foundation of China [71301001, 71371011, 71501002, 71272047]
- Project of Anhui Province for Excellent Young Talents
- Doctoral Scientific Research Foundation of Anhui University
- Anhui Provincial Natural Science Foundation [1508085QG149]
- Provincial Natural Science Research Project of Anhui Colleges [KJ2015A379]
- Anhui Provincial Philosophy and Social Science Planning Youth Foundation [AHSKQ2016D13]
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This paper proposes a fuzzy group decision-making model based on a logarithm compatibility measure with multiplicative trapezoidal fuzzy preference relations (MTFPRs) based on a continuous ordered weighted geometric averaging (COWGA) operator. New concepts are presented to measure deviation between MTFPR and its expected fuzzy preference relation. Then, an iterative algorithm is developed to help individual MTFPR reach acceptable compatibility. To determine the weights of decision makers, an optimal model is constructed using group logarithm compatibility index COWGA operator. Finally, we illustrate an example to show how it works and compare it with the existing methods. The main advantages of the proposed approach are the following: (1) The COWGA operator makes decision making more flexible; (2) an iterative and convergent algorithm is proposed to improve the compatibility of MTFPR; (3) decision makers' weights in group decision making are determined by an optimal model based on a logarithm compatibility measure.
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