DocumentCode :
3452372
Title :
Interval logic and its extension
Author :
Mukaidono, Masao
Author_Institution :
Dept. of Comput. Sci., Meiji Univ., Kawasaki, Japan
fYear :
1992
fDate :
8-12 Mar 1992
Firstpage :
579
Lastpage :
586
Abstract :
In general, interval logic has an interval truth value [n, p], where n and p are numerical truth values of [0, 1] and a condition np has to be satisfied. The author extends interval logic such that the condition np is removed from the interval truth value, that is, the interval logic has a truth value [a,b]. where a and b are any elements of [0, 1]. In this extended interval logic, degrees of ambiguity and contradiction as well as degrees of true and false can be treated. By introducing two partially ordered relations on the set of truth values of interval logic, concerning truth and ambiguity, basic logic operations are defined. Some fundamental properties of an interval logic function are studied, where an interval logic function is a function represented by a logic formula consisting of these operations and variables which take interval truth values
Keywords :
fuzzy logic; ambiguity degrees; contradiction degrees; interval logic; interval truth value; partially ordered relations; Fuzzy logic; Fuzzy sets; Logic functions;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Fuzzy Systems, 1992., IEEE International Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-0236-2
Type :
conf
DOI :
10.1109/FUZZY.1992.258727
Filename :
258727
Link To Document :
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