Method of least squares applied to the generalized modus ponens with interval-valued fuzzy sets.

Eduard Agustench; Humberto Bustince; Victoria Mohedano

Mathware and Soft Computing (1999)

  • Volume: 6, Issue: 2-3, page 267-276
  • ISSN: 1134-5632

Abstract

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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].

How to cite

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Agustench, Eduard, Bustince, Humberto, and Mohedano, Victoria. "Method of least squares applied to the generalized modus ponens with interval-valued fuzzy sets.." Mathware and Soft Computing 6.2-3 (1999): 267-276. <http://eudml.org/doc/39169>.

@article{Agustench1999,
abstract = {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].},
author = {Agustench, Eduard, Bustince, Humberto, Mohedano, Victoria},
journal = {Mathware and Soft Computing},
keywords = {Lógica difusa; Mínimos cuadrados; Conjuntos difusos; interval-valued fuzzy sets},
language = {eng},
number = {2-3},
pages = {267-276},
title = {Method of least squares applied to the generalized modus ponens with interval-valued fuzzy sets.},
url = {http://eudml.org/doc/39169},
volume = {6},
year = {1999},
}

TY - JOUR
AU - Agustench, Eduard
AU - Bustince, Humberto
AU - Mohedano, Victoria
TI - Method of least squares applied to the generalized modus ponens with interval-valued fuzzy sets.
JO - Mathware and Soft Computing
PY - 1999
VL - 6
IS - 2-3
SP - 267
EP - 276
AB - 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].
LA - eng
KW - Lógica difusa; Mínimos cuadrados; Conjuntos difusos; interval-valued fuzzy sets
UR - http://eudml.org/doc/39169
ER -

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