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Similarity relations and fuzzy orderings

L. Zadeh

1971 · DOI: 10.1016/S0020-0255(71)80005-1
Information Sciences · 2,705 Citations

TLDR

An extended version of Szpilrajn's theorem is proved and various properties of similarity relations and fuzzy orderings are investigated and, as an illustration, a fuzzy preordering is investigated which is reflexive and antisymmetric.