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- W2042804562 abstract "In this paper, we present the interval type-2 fuzzy rational degree to measure the similarity of the interval type-2 fuzzy sets and apply it to multiple attribute decision making with interval type-2 fuzzy information. First, we introduce the concept of the interval type-2 fuzzy metric spaces, which include interval type-2 fuzzy distance space and interval type-2 fuzzy inner product space, respectively. Based on which, we derive the distance measure and inner product of interval type-2 fuzzy sets, respectively. Then, we introduce the axiomatic definition of the interval type-2 fuzzy rational degree and propose an interval type-2 fuzzy rational degree formula. Moreover, we construct the mathematical optimal model based on two types of interval type-2 fuzzy measures (center of gravity and fuzziness) to determine the optimal attribute weights. Based on the interval type-2 fuzzy rational degree and the optimal weights solution model we proposed, an approach to multiple attribute decision making under interval type-2 fuzzy environment is developed. Finally, an illustrative example is given to demonstrate the practicality and effectiveness of our method." @default.
- W2042804562 created "2016-06-24" @default.
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- W2042804562 date "2014-07-01" @default.
- W2042804562 modified "2023-09-26" @default.
- W2042804562 title "Interval type-2 relational analysis and its application to multiple attribute decision making" @default.
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- W2042804562 doi "https://doi.org/10.1109/fuzz-ieee.2014.6891559" @default.
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