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Evaluating an Explicit Functional Relationship by Fuzzifying the Statement of its Satisfying
Author(s) -
Bandemer H.,
Schmerling S.
Publication year - 1985
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710270205
Subject(s) - mathematics , statement (logic) , fuzzy logic , fuzzy set , interval (graph theory) , membership function , set (abstract data type) , arithmetic , function (biology) , discrete mathematics , computer science , artificial intelligence , linguistics , combinatorics , programming language , philosophy , evolutionary biology , biology
Combining the concepts of interval arithmetic and fuzzy theory the observations to identify some explicit functional relationship are assumed to be fuzzy sets given by the threshold sets of their membership function, which have contours suitable for the application of interval arithmetic procedures. The result is a fuzzy set on the parameter region, which offers possibilities for reasoning on the validity of the relationship. The proceeding is illustrated by an example.