Some Induced Aggregating Operators with Fuzzy Number Intuitionistic Fuzzy Information and their Applications to Group Decision Making | Zendy

Guiwu Wei | Zendy; Xiaofei Zhao | Zendy; Rui Lin | Zendy

Open Access

Some Induced Aggregating Operators with Fuzzy Number Intuitionistic Fuzzy Information and their Applications to Group Decision Making

Author(s) -

Guiwu Wei,

Xiaofei Zhao,

Rui Lin

Publication year - 2010

Publication title -

international journal of computational intelligence systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.385

H-Index - 41

eISSN - 1875-6891

pISSN - 1875-6883

DOI - 10.1080/18756891.2010.9727679

Subject(s) - fuzzy number , mathematics , fuzzy logic , fuzzy set operations , group decision making , fuzzy classification , operator (biology) , defuzzification , fuzzy mathematics , type 2 fuzzy sets and systems , monotonic function , commutative property , score , computer science , mathematical optimization , algorithm , discrete mathematics , fuzzy set , artificial intelligence , statistics , chemistry , mathematical analysis , biochemistry , repressor , political science , transcription factor , law , gene

With respect to multiple attribute group decision making (MAGDM) problems in which both the attribute weights and the expert weights take the form of real numbers, attribute values take the form of fuzzy number intuitionistic fuzzy numbers, a new group decision making analysis method is developed. Firstly, some operational laws of fuzzy number intuitionistic fuzzy numbers, score function and accuracy function of fuzzy number intuitionistic fuzzy numbers are introduced. Then a new aggregation operator called induced fuzzy number intuitionistic fuzzy ordered weighted geometric (I-FIFOWG) operator is proposed, and some desirable properties of the I-FIFOWG operators are studied, such as commutativity, idempotency and monotonicity. An I-FIFOWG and FIFWG (fuzzy number intuitionistic fuzzy weighted geometric) operators-based approach is developed to solve the MAGDM under the fuzzy number intuitionistic fuzzy environment. Furthermore, we propose the induced fuzzy number intuitionistic fuzzy ordered weighted avera...

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