Applications of the extent analysis method on fuzzy AHP
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Cites methods from "Applications of the extent analysis..."
...The steps of Chang’s extent analysis can be given as follows: Step 1: The value of fuzzy synthetic extent with respect to the ith object is defined as Si Xm j¼1 eM jgi Xn i¼1 Xm j¼1 eM jgi " # 1 ; ð6Þ where denotes the extended multiplication of two fuzzy numbers....
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...Chang’s fuzzy AHP method Let X = {o1,o2, . . . ,on} be an object set, and U = {g1,g2, . . . ,gm} be a goal set....
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...According to the method of Chang’s extent analysis, each object is considered one by one, and for each object, the analysis is carried out for each of the possible goals, gi....
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...Chang’s extent analysis method used in this paper has proved to be simpler, less time consuming and having less computational expense compared to other existing fuzzy AHP methods....
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...The definition of the triangular fuzzy number and the steps of Chang’s extent analysis method are given in Appendix....
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References
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"Applications of the extent analysis..." refers background or methods in this paper
...The ordering relation between the candidates is exactly the same as in [3]....
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...Since the publication of Saaty's The Analy t ic Hierarchy Process (for short AHP), Netherlands's scholars van Laarhoven and Pedrycg [3] proposed a method, where the fuzzy comparing judgment is represented by triangular fuzzy numbers....
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537 citations