Fuzzy categories related to algebra and topology

Rok, strany: 1999, 159 - 185

The concept of a fuzzy category first introduced in [A. Shostak: Towards the concept of a fuzzy category, Acta Univ. Latv. (Ser. Math.) 562 (1991), 85–94], was studied in [A. Shostak: Fuzzy categories versus categories of fuzzily structured sets: Elements of the theory of fuzzy categories, in: Mathematik-Arbeitspapiere N 48: Categorical Methods in Algebra and Topology (A collection of papers in honor of Horst Herrlich) (Hans-E. Porst, ed.), Bremen, August 1977, pp. 407–438]. Roughly speaking, a fuzzy category is a category-like conglomerate in which “potential objects ” and “potential morphisms ” are respectively objects and morphisms only to a certain degree. In this paper, after briefly recalling basic concepts related to fuzzy categories, we discuss a series of examples of fuzzy categories connected with the categories of sets, groups, topological spaces, proximity spaces and metric spaces.

ISO 690:

Shostak, A. 1999. Fuzzy categories related to algebra and topology. In Tatra Mountains Mathematical Publications, vol. 16, no.1, pp. 159-185. 1210-3195.

APA:

Shostak, A. (1999). Fuzzy categories related to algebra and topology. Tatra Mountains Mathematical Publications, 16(1), 159-185. 1210-3195.