A ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems
By Dengfeng Li. Computers and Mathematics with Applications, 2010
392 citations recorded by the source corpus.
The concept of an intuitionistic fuzzy number (IFN) is of importance for quantifying an ill-known quantity, and the ranking of IFNs is a very difficult problem. The aim of this paper is to introduce the concept of a triangular IFN (TIFN) as a special case of the IFN and develop a new methodology for ranking TIFNs. Firstly the concepts of TIFNs and cut sets as well as arithmetical operations are introduced. Then the values and ambiguities of the membership function and the non-membership function for a TIFN are defined. A new ranking method is developed on the basis of the concept of a ratio of the value index to the ambiguity index and applied to multiattribute decision making problems in which the ratings of alternatives on attributes are expressed with TIFNs. The validity and applicability of the proposed method, as well as analysis of the comparison with other methods, are illustrated with a real example.
Subfields: Control and Systems Engineering, Management Science and Operations Research, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/dcd86fa8f5b2c67648fa55f55bb87abbeb21d66f
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In Management Science and Operations Research
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Citations in the corpus
- A new approach for ranking of intuitionistic fuzzy numbers using a centroid concept (2016, background): “Ranking of TIFN on the basis of value index to ambiguity index is proposed by Li [9] and solved a multiattribute decision-making problem.”
- A multicriteria intuitionistic fuzzy group decision making for plant location selection with ELECTRE method (2012, neutral): “TIFSs [50].”