DocumentCode
1750651
Title
Some basic theory of interval-valued fuzzy sets
Author
Gehrke, Mai ; Walker, Carol ; Walker, Elbert
Author_Institution
Dept. of Math. Sci., New Mexico State Univ., Las Cruces, NM, USA
Volume
3
fYear
2001
fDate
25-28 July 2001
Firstpage
1332
Abstract
Let S be a set. A fuzzy subset of S is a mapping A from S into [0,1]. The value A(s) for a particular s is typically associated with a degree of belief of some expert. There is an extensive theory of fuzzy sets, but there are situations when assigning an exact number to an expert\´s opinion is too restrictive, and the assignment of an interval of values is more realistic. This paper is concerned with the basics of a theory for such "interval-valued" fuzzy sets, namely mappings of a set S into the set of intervals of [0,1]
Keywords
fuzzy set theory; belief degree; expert opinion; fuzzy subset; interval-valued fuzzy sets; mapping; Algebra; Fuzzy set theory; Fuzzy sets; Lattices; Proposals;
fLanguage
English
Publisher
ieee
Conference_Titel
IFSA World Congress and 20th NAFIPS International Conference, 2001. Joint 9th
Conference_Location
Vancouver, BC
Print_ISBN
0-7803-7078-3
Type
conf
DOI
10.1109/NAFIPS.2001.943741
Filename
943741
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