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L ‐Fuzzy Contiguity Relations and L ‐Fuzzy Closure Operators in the Case of Completely Distributive, Complete Lattices L
Author(s) -
Flüshöh Wolfgang,
Höhle Ulrich
Publication year - 1990
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19901450110
Subject(s) - distributive property , mathematics , contiguity , closure (psychology) , unit interval , transitive closure , fuzzy logic , closure operator , pure mathematics , discrete mathematics , combinatorics , closed set , computer science , artificial intelligence , economics , market economy , operating system
In the case of completely distributive, complete lattices L the relations between L ‐fuzzy contiguity relations and L ‐fuzzy closure operators are investigated. In addition, if L is the real unit interval, L ‐fuzzy contiguity relations are represented by means of V D ‐contiguity relations, PT spaces and random V D ‐contiguity relations respectively.