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Categories of fuzzy sets

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Abstract

In this paper we look at two categories, the category ℱ of fuzzy subsets and a quotient category ℱ/ℳ of fuzzy sets. The category ℱ/ℳ is an extension of the category of sets, and the standard constructions in fuzzy set theory arise naturally within this category.

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Authors and Affiliations

  1. New Mexico State University, Las Cruces, NM 88003, USA

    C. L. Walker

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  1. C. L. Walker
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Correspondence to C. L. Walker.

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This paper was presented at a workshop in the Czech Republic, hosted by Professors Vilém Novák and Irina Perfilieva. I thank them for their warm hospitality and the opportunity to participate in an inspiring workshop.

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Walker, C. Categories of fuzzy sets. Soft Computing 8, 299–304 (2004). https://doi.org/10.1007/s00500-003-0275-1

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  • DOI: https://doi.org/10.1007/s00500-003-0275-1

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