Fuzzy multi-criteria decision making method based on fuzzy structured element with incomplete weight information
Publish place: Iranian Journal of Fuzzy Systems، Vol: 13، Issue: 2
Publish Year: 1395
Type: Journal paper
Language: English
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Document National Code:
JR_IJFS-13-2_002
Index date: 17 June 2022
Fuzzy multi-criteria decision making method based on fuzzy structured element with incomplete weight information abstract
The fuzzy structured element (FSE) theory is a very useful toolfor dealing with fuzzy multi-criteria decision making (MCDM)problems by transforming the criterion value vectors of eachalternative into the corresponding criterion function vectors. Inthis paper, some concepts related to function vectors are firstdefined, such as the inner product of two function vectors, thecosine of the included angle between two function vectors and theprojection of a function vector on another. Then a method based onFSE is developed to solve fuzzy MCDM problems in which thecriterion values take the form of general bounded closed fuzzynumbers and the criterion weight information is incompletecertain. In this method, the projections of criterion functionvectors on the fuzzy ideal function point (FIFP) are used to rankall the alternatives and then select the most desirable one, andan optimization model is constructed to determine the weights ofcriteria according to the incomplete weight information. Finally,an example is given to illustrate the feasibility andeffectiveness of the developed method.
Fuzzy multi-criteria decision making method based on fuzzy structured element with incomplete weight information Keywords:
Multi-criteria decision making (MCDM) , Fuzzy structured element (FSE) , Inner product , Projection , Entropy
Fuzzy multi-criteria decision making method based on fuzzy structured element with incomplete weight information authors
Xinfan Wang
School of Science, Hunan University of Technology, Zhuzhou, Hunan, ۴۱۲۰۰۷, China
Jianqiang Wang
School of Business, Central South University, Changsha, Hunan, ۴۱۰۰۸۳, China
Xiaohong Chen
School of Business, Central South University, Changsha, Hunan, ۴۱۰۰۸۳, China
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