GENERALIZED ATANASSOV'S INTUITIONISTIC FUZZY INDEX: CONSTRUCTION OF ATANASSOV'S FUZZY ENTROPY FROM FUZZY IMPLICATION OPERATORS-Reference-Cited by-同舟云学术

GENERALIZED ATANASSOV'S INTUITIONISTIC FUZZY INDEX: CONSTRUCTION OF ATANASSOV'S FUZZY ENTROPY FROM FUZZY IMPLICATION OPERATORS

Published:2011-02 Issue:01 Volume:19 Page:51-69
ISSN:0218-4885
Container-title:International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
language:en
Short-container-title:Int. J. Unc. Fuzz. Knowl. Based Syst.

Author:

BUSTINCE HUMBERTO¹,BARRENECHEA EDURNE¹,PAGOLA MIGUEL¹,FERNANDEZ JAVIER¹,GUERRA CARLOS¹,COUTO PEDRO²,MELO-PINTO PEDRO²

Affiliation:

1. Automática y Computación, Universidad Pública de Navarra, Campus Arrosadía, s/n 31006, Pamplona, 31006, Spain

2. Universidad de Trás-os-Montes e Alto Douro, Vila Real, Portugal

Abstract

In this paper we introduce the concept of Generalized Atanassov's Intuitionistic Fuzzy Index. We characterize it in terms of fuzzy implication operators and propose a construction method with order automorphisms. Finally, we obtain, by means of special aggregation functions applied to the generalized Atanassov's intuitionistic fuzzy index, the Atanassov's intuitionistic fuzzy entropy given by Burillo and Bustince.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218488511006885

Reference27 articles.

1. Fuzzy sets

2. Intuitionistic fuzzy sets

3. On the relevance of some families of fuzzy sets

4. Construction of intuitionistic fuzzy relations with predetermined properties

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