16-17 May 2019 • Sofia, Bulgaria

Submission: 21 February 2019Notification: 11 March 2019Final Version: 1 April 2019

Issue:A theorem for constructing interval-valued intuitionistic fuzzy sets from intuitionistic fuzzy sets

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Title of paper: A theorem for constructing interval-valued intuitionistic fuzzy sets from intuitionistic fuzzy sets
Author(s):
Humberto Bustince
Departmento de Matematica en Informatica, Universidad Publica de Navarra, 31006, Campus Arrosadia, Pamplona, Spain
bustinceAt sign.pngsi.upna.es
Pedro Burillo
Departmento de Matematica en Informatica, Universidad Publica de Navarra, 31006, Campus Arrosadia, Pamplona, Spain
Published in: "Notes on IFS", Volume 1 (1995) Number 1, pages 5—16
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Abstract: In this paper we present a theorem that allows us to construct interval-valued intuitionistic fuzzy sets from intuitionistic fuzzy sets. We also study the way of recovering of intuitionistic fuzzy sets used in the construction of interval-valued intuitionistic fuzzy set from different operators. We analyse the numerical measures of information of the interval-valued intuitionistic fuzzy set constructed in function with the numerical measures of information of the intuitionistic fuzzy sets used in its construction. We review the most important properties of intuitionistic fuzzy sets and of interval-valued intuitionistic fuzzy sets and we analyse three operators among these sets with their properties.
Keywords: Fuzzy set, Intuitionistic fuzzy set, Interval-valued intuitionistic fuzzy set, Intuitionistic entropy, Interval-valued intuitionistic entropy, Operators on interval-valued intuitionistic entropy
References:
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  7. P. Burillo and H. Bustince, Informational Energy on Intuitionistic Fuzzy Sets and on Interval-valued Fuzzy Sets. Relationship between Measures of Information, FUBEST'94, 46-50, Sofia, Bulgaria, Sept. (1994), 28-30
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