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Issue:Intuitionistic fuzzy logic is not always equivalent to interval-valued one

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Title of paper: Intuitionistic fuzzy logic is not always equivalent to interval-valued one
Author(s):
Christian Servin
Information Technology Department, El Paso Community College, 919 Hunter, El Paso TX 79915, USA
cservin@gmail.com
Vladik Kreinovich
Department of Computer Science, University of Texas at El Paso, El Paso, TX 79968, USA
vladik@utep.edu
Published in: "Notes on IFS", Volume 22, 2016, Number 5, pages 1—11
Download:  PDF (123  Kb, Info)
Abstract: It has been shown that from the purely mathematical viewpoint, the (traditional) intuitionistic fuzzy logic is equivalent to interval-valued fuzzy logic. In this paper, we show that if we go beyond the traditional "and"- and "or"-operations, then intuitionistic fuzzy logic becomes more general than the interval-valued one.
Keywords: Intuitionistic fuzzy logic, Interval-valued fuzzy logics, And, Or.
AMS Classification: 03E72.
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