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Unionrepresentation theorem of bothbranch fuzzy set

LIU Ji-qin1,2   

  1. 1.School of Math. and System Sci., Shandong Univ., Jinan 250100, Shandong, China;2. Department of Statistics and Mathematics, Shandong Finance Institute, Jinan 250014, Shandong, China
  • Received:2005-07-20 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: LIU Ji-qin

Abstract: The unionrepresentation theorem of bothbranch fuzzy set is given, and some operational properties of bothbranch fuzzy set are discussed. The results indicate that the unionrepresentation theorem of bothbranch fuzzy set is the general form of representation theorem of Zadeh fuzzy set, and the representation theorem of Zadeh fuzzy set is the special form of unionrepresentation theorem of bothbranch fuzzy set.

Key words: union-representation theorem of both-branch fuzzy set , bothbranch fuzzy set, nest of sets, fuzzy set

CLC Number: 

  • O159
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