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Fuzzy partially ordered fuzzy subgroups

✍ Scribed by S.K. Bhakat; P. Das

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
392 KB
Volume
67
Category
Article
ISSN
0165-0114

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Similarity relations, fuzzy linear order
Similarity relations, fuzzy linear orders, and fuzzy partial orders
✍ Sukhamay Kundu πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 230 KB

We show that for a fuzzy partial order R on a ΓΏnite universe , there is a ΓΏnite family of fuzzy linear orders {Li: 16i6k} such that R(x; y) = min{ L i (x; y): 16i6k} for all x and y. This generalizes a well-known result on crisp partial orders, which states that each partial order on a ΓΏnite set is