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A New Fuzzy Disjointing Difference Operator to Calculate Union and Intersection of Type-2 Fuzzy Sets

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Frontiers of Higher Order Fuzzy Sets

Abstract

This chapter introduces a fuzzy disjointing difference operator. Based on the ordering of the disjoint fuzzy sets of the real line, a novel algorithm for calculation of the union and intersection of type-2 fuzzy sets with convex fuzzy grades using min t-norm and max t-conorm is proposed. The algorithm can be easily extended to the problems of ordering fuzzy numbers and calculation of the extended max and min of fuzzy sets.

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Authors and Affiliations

  1. Department of Computer Science, Ryerson University, M5B 2K3, Toronto, ON, Canada

    Hooman Tahayori & Alireza Sadeghian

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  1. Hooman Tahayori
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  2. Alireza Sadeghian
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Correspondence to Hooman Tahayori .

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Editors and Affiliations

  1. Ryerson University, Toronto, Ontario, Canada

    Alireza Sadeghian

  2. Ryerson University, Toronto, Ontario, Canada

    Hooman Tahayori

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Tahayori, H., Sadeghian, A. (2015). A New Fuzzy Disjointing Difference Operator to Calculate Union and Intersection of Type-2 Fuzzy Sets. In: Sadeghian, A., Tahayori, H. (eds) Frontiers of Higher Order Fuzzy Sets. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3442-9_1

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  • DOI: https://doi.org/10.1007/978-1-4614-3442-9_1

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  • Print ISBN: 978-1-4614-3441-2

  • Online ISBN: 978-1-4614-3442-9

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