On intuitionistic fuzzy version of Zadeh's extension principle
In this paper, by using \alpha- and \beta-cuts approach and the intuitionistic fuzzy Zadeh’s extension principle, we have proved a result which reveals that the \alpha- and \beta-cuts of an intuitionistic fuzzy number obtained by the intuitionistic fuzzy Zadeh’s extension principle coincide with the images of the \alpha- and \beta-cuts by the crisp function. Then we have given a corollary about monotonicity of the extension principle. Finally, we have extended these results to IF_N(\mathbb{R}) \times IF_N(\mathbb{R}).
2017 ◽
Vol 6
(3)
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pp. 6-58
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2018 ◽
Vol 36
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pp. 235
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2016 ◽
Vol 40
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pp. 10800-10808
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pp. 677-687
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2017 ◽
Vol 49
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pp. 392-406
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