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Generalized extension principle for non-normal fuzzy sets

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  • Hsien-Chung Wu

    (National Kaohsiung Normal University)

Abstract

The conventional extension principle is established on the Euclidean space and defined by considering the minimum or t-norm operator in which the fuzzy sets are usually assumed to be normal. The previous work on generalized extension principle was also based on the normal fuzzy sets. Since the non-normal fuzzy sets occur frequently in practical applications, in this paper, the generalized extension principle based on the non-normal fuzzy sets is established in which the general aggregation operator and Hausforff space are taken into account.

Suggested Citation

  • Hsien-Chung Wu, 2019. "Generalized extension principle for non-normal fuzzy sets," Fuzzy Optimization and Decision Making, Springer, vol. 18(4), pages 399-432, December.
    • Handle: RePEc:spr:fuzodm:v:18:y:2019:i:4:d:10.1007_s10700-019-09307-7
    DOI: 10.1007/s10700-019-09307-7
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    References listed on IDEAS

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    1. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
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    Cited by:

    1. Hsien-Chung Wu, 2020. "Arithmetics of Vectors of Fuzzy Sets," Mathematics, MDPI, vol. 8(9), pages 1-42, September.

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