fuzzy operators: distributivity

Witlox Frank (frw.witlox.f@ALPHA.UFSIA.AC.BE)
Thu, 24 Apr 1997 10:08:57 +0200


Dear Fuzzy Friends,

Two questions with respect to the use of fuzzy operators
(connectives):

1) Does there exist (an)other fuzzy operator(s) which allow(s) for
the distributivity property, other than Zadeh's classical min-max
operators ? Or can distributivity only hold if a probabilistic
interpretation of fuzzy sets is advanced (cf. Mabuchi, 1992, Fuzzy
Sets & Systems, vol. 49 (3), pp. 271-283).

2) Does something like "mixed connectives" exist: ie, combining a
t-norm with another than what is usually expected t-conorm: eg. the
product operator (for intersection, a t-norm) in combination with the
algebraic sum (for union), instead of probabilisic sum?

Who can help? Please give me some pointers to useful references.
Many thanks!

Frank Witlox
University of Antwerp (Belgium)
E-mail: frank.witlox@ufsia.ac.be (or this discussion group)

================================================================
Frank J.A. WITLOX
University of Antwerp - UFSIA
Department of Economic and Social Sciences (SESO)
Rodestraat 14, R 204
B-2000 Antwerp
Tel.: + 32 3 220 45 87
E-mail: frank.witlox@ufsia.ac.be Fax : + 32 3 220 45 46
================================================================