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Titolo:
AXIOMATICS FOR FUZZY ROUGH SETS
Autore:
MORSI NN; YAKOUT MM;
Indirizzi:
AIN SHAMS UNIV,FAC EDUC,DEPT MATH CAIRO EGYPT AIN SHAMS UNIV,FAC EDUC,DEPT MATH CAIRO EGYPT MIL TECH COLL,DEPT MATH CAIRO EGYPT
Titolo Testata:
Fuzzy sets and systems
fascicolo: 1-3, volume: 100, anno: 1998,
pagine: 327 - 342
SICI:
0165-0114(1998)100:1-3<327:AFFRS>2.0.ZU;2-F
Fonte:
ISI
Lingua:
ENG
Soggetto:
SIMILARITY RELATIONS; ORDERINGS;
Keywords:
TRIANGULAR NORM; SIMILARITY RELATION; UPPER AND LOWER APPROXIMATIONS IN FUZZY ROUGH SETS;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
CompuMath Citation Index
CompuMath Citation Index
CompuMath Citation Index
Science Citation Index Expanded
Science Citation Index Expanded
Science Citation Index Expanded
Citazioni:
11
Recensione:
Indirizzi per estratti:
Citazione:
N.N. Morsi e M.M. Yakout, "AXIOMATICS FOR FUZZY ROUGH SETS", Fuzzy sets and systems, 100(1-3), 1998, pp. 327-342

Abstract

A fuzzy T-rough set consists of a set X and a T-similarity relation Ron X, where T is a lower semi-continuous triangular norm. We generalize the Farinas-Prade definition for the upper approximation operator (A) over bar: I-X --> I-X of a fuzzy T-rough set (X, R); given originally for the special case T = Min, to the case of arbitrary T. We propose a new definition for the lower approximation operator (A) under bar:I-X --> I-X of (X, R),Our definition satisfies the two important identities (A) over bar (A) under bar = (A) under bar and (A) under bar (A) over bar = (A) over bar, as well as a number of other interesting properties. We provide axiomatics to fully characterize those upper and lower approximations. (C) 1998 Published by Elsevier Science B.V. All rights reserved.

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Documento generato il 20/09/20 alle ore 23:32:34