Firstly we present a geometric interpretation of interval-valued fuzzy sets. Secondly, we apply the method of least squares to the fuzzy inference rules when working with these sets. We begin approximating the lower and upper extremes of the membership intervals to axb type functions by means of the method of least squares. Then we analyze a technique for evaluating the conclusion of the generalized modus ponens and we verify the fulfillment of Fukami and alumni axioms [9].
@article{urn:eudml:doc:39169,
title = {Method of least squares applied to the generalized modus ponens with interval-valued fuzzy sets.},
journal = {Mathware and Soft Computing},
volume = {6},
year = {1999},
pages = {267-276},
zbl = {0954.68143},
mrnumber = {MR1774571},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39169}
}
Agustench, Eduard; Bustince, Humberto; Mohedano, Victoria. Method of least squares applied to the generalized modus ponens with interval-valued fuzzy sets.. Mathware and Soft Computing, Tome 6 (1999) pp. 267-276. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39169/