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Generating indistinguishability operators from prototypes
Author(s) -
Hernández E.,
Recasens J.
Publication year - 2002
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.10064
Subject(s) - operator (biology) , partition (number theory) , duality (order theory) , fuzzy logic , computer science , mathematics , universe , theoretical computer science , algebra over a field , discrete mathematics , artificial intelligence , combinatorics , pure mathematics , physics , biochemistry , chemistry , repressor , transcription factor , astrophysics , gene
Given a T ‐indistinguishability operator E defined between some fuzzy subsets of a universe of discourse X , this paper studies three ways to generate an indistinguishability operator on X compatible with E inspired by the tools used in approximate reasoning and on the duality principle. Of special interest are the cases when the fuzzy subsets determine a partition and a hard‐partition of the universe X . © 2002 Wiley Periodicals, Inc.
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