Generalized triangular fuzzy correlated averaging operator and their application to multiple attribute decision making. (English) Zbl 1252.90099

Wei, Guiwu; Zhao, Xiaofei; Lin, Rui; Wang, Hongjun

Appl. Math. Modelling 36, No. 7, 2975-2982 (2012).

Summary: We investigate the multiple attribute decision making problems with triangular fuzzy information. Motivated by the ideal of Choquet integral [G. Choquet, Ann. Inst. Fourier 5, 131–295 (1953/54; Zbl 0064.35101)] and generalized OWA operator [R. R. Yager, Fuzzy Optim. Decis. Mak. 3, No. 1, 93–107 (2004; Zbl 1057.90032)], we develop a generalized triangular fuzzy correlated averaging (GTFCA) operator. The prominent characteristic of the operators is that they cannot only consider the importance of the elements or their ordered positions, but also reflect the correlation among the elements or their ordered positions. We apply the GTFCA operator to multiple attribute decision making problems with triangular fuzzy information. Finally an illustrative example is given to show the developed method.

MSC:

90C70	Fuzzy and other nonstochastic uncertainty mathematical programming
91B14	Social choice
03E72	Theory of fuzzy sets, etc.

Keywords:

multiple attribute decision making; triangular fuzzy number; generalized triangular fuzzy correlated averaging (GTFCA) operator

Citations:

Zbl 0064.35101; Zbl 1057.90032

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