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Indexed by:期刊论文

Date of Publication:2009-03-01

Journal:COMPUTERS & MATHEMATICS WITH APPLICATIONS

Included Journals:SCIE、EI、Scopus

Volume:57

Issue:5

Page Number:691-701

ISSN No.:0898-1221

Key Words:Cut set; Set embedding; Order set embedding; Decomposition theorem; Representation theorem; Extension principle; Category; Fuzzy linear mapping

Abstract:Three new cut sets are introduced from the view points of neighborhood and Q-neighborhood in fuzzy topology and their properties are discussed. By the use of these cut sets, new decomposition theorems, new representation theorems, new extension principles and new fuzzy linear mappings are obtained. Then inner project of fuzzy relations, generalized extension principle and new composition rule of fuzzy relations are given. In the end, we present axiomatic descriptions for different cut sets and show the three most intrinsic properties for each cut set. (C) 2008 Elsevier Ltd. All rights reserved.