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A Splitting Theorem for Transitive Maps

✍ Scribed by Ll. Alsedà; M.A. del Rı́o; J.A. Rodrı́guez


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
130 KB
Volume
232
Category
Article
ISSN
0022-247X

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A representation theorem for min-transit
✍ Sukhamay Kundu 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 112 KB

We provide an abstract representation theorem for an arbitrary min-transitive fuzzy relation R(x; y) on a set X in terms of a speciÿc min-transitive relation on the interval [0, 1]. The technique used here gives us a fuzzy lattice structure on F(X ) = the set of all fuzzy subsets of X . The underlyi