Decision Making-Interactive and Interactive Approaches

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Abstract

In this chapter, firstly, according to the problem of the consistency of reciprocal judgment matrix, two kinds of consistency recursive iterative adjustment algorithms were given.Secondly, according to the consistency problem of the fuzzy complementary judgment matrix, the definition of the scale transition matrix of the fuzzy complementary judgment matrix was given, then one method of additive consistency recursive iterative adjustment algorithms about the fuzzy complementary judgment matrix was given.Thirdly, the definition of additive consistent intuitionistic fuzzy complementary judgement matrix was given, then the addition and subtraction algorithms of intuitionistic fuzzy value representing the relative importance degree in the matrix were given, and the definition of the scale transition matrix of intuitionistic fuzzy complementary judgement matrix was given, then additive consistency recursive iterative adjustment algorithms about the intuitionistic fuzzy complementary judgement matrix was given.Meanwhile, the priority vectors formula of intuitionistic fuzzy complementary judgment matrix was introduced in this paper.Lastly, based on additive consistency recursive iterative adjustment algorithms about the intuitionistic fuzzy complementary judgement matrix, the steps of intuitionistic fuzzy analytic hierarchy process were introduced, then the method was applied in actual examples, and the effectiveness was verified.

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Li, W., & Zhang, C. (2015). Decision Making-Interactive and Interactive Approaches. In Studies in Big Data (Vol. 10, pp. 219–244). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-319-16829-6_9

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