Perbandingan keputusan multi-atribut berasaskan beberapa teori set
This paper discusses the comparison analyses for multi-attributes decision derived from crisp set, fuzzy set, intuitionistic fuzzy set and conflicting bifuzzy set. It focuses on the different evaluation approach using the binary system in crisp sets, the membership degree in [0,1] for fuzzy sets,...
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| Main Authors: | , , |
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| Format: | Article |
| Published: |
Penerbit ukm
2009
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| Online Access: | http://journalarticle.ukm.my/1914/ http://www.ukm.my/~ppsmfst/jqma/index.html |
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| Summary: | This paper discusses the comparison analyses for multi-attributes decision derived from crisp
set, fuzzy set, intuitionistic fuzzy set and conflicting bifuzzy set. It focuses on the different
evaluation approach using the binary system in crisp sets, the membership degree in [0,1] for
fuzzy sets, the membership and non-membership degrees with condition 0 ≤ μA(x) + γA(x) ≤ 1
in intuitionistic fuzzy sets, and ‘equilibrium evaluation approach’ (i.e., positive and negative
aspects) in conflicting bifuzzy sets. To meet these objectives, all the set theories are briefly
discussed specifically the definitions, equalities, the differences as well as the different
evaluation approaches to obtain the relative approximation index. A numerical example using
Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is also presented to
clarify each of the above set theories. From the calculation results, it shows the significant
differences of relative approximation index for each theory and different rating between the
crisp set and other set theories. It is also found that all the set theories have recorded the same
rating and consistent, except crisp sets. Thus, this situation offers wider opportunities to
investigate more deeply and holistically for future research |
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