Journal
APPLIED SOFT COMPUTING
Volume 65, Issue -, Pages 349-359Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.asoc.2018.01.020
Keywords
Group decision making (GDM); Triangular fuzzy number; Additive approximation-consistency; Induced ordered weighted averaging (IOWA) operator; Compatibility degree
Categories
Funding
- National Natural Science Foundation of China [71571054]
- Guangxi high school innovation team and outstanding scholars plan
- Guangxi Natural Science Foundation for Distinguished Young Scholars [2016GXNSFFA380004]
Ask authors/readers for more resources
A group decision making (GDM) model is proposed when the experts evaluate their opinions through triangular fuzzy numbers. First, it is pointed out that the preference relations with triangular fuzzy numbers are inconsistent in nature. In order to distinguish the typical consistency, the concept of additive approximation-consistency is proposed for triangular fuzzy additive reciprocal matrices. The properties of triangular fuzzy additive reciprocal matrices with additive approximation-consistency are studied in detail. Second, using (n-1) restricted preference values, a triangular fuzzy additive reciprocal preference relation with additive approximation-consistency is constructed. Third, a novel compatibility degree among triangular fuzzy additive reciprocal preference relations is defined. It is further applied to introduce the compatibility-degree induced ordered weighted averaging (CD-IOWA) operator for generating a collective triangular fuzzy additive reciprocal matrix with additive approximation-consistency. Finally, a new algorithm for the group decision-making problem with triangular fuzzy additive reciprocal preference relations is presented. A numerical example is carried out to illustrate the proposed definitions and algorithm. (c) 2018 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available