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Ebrahimnejad A, Verdegay JL. An efficient computational approach for solving type-2 intuitionistic fuzzy numbers based Transportation Problems. INT J COMPUT INT SYS 2016. [DOI: 10.1080/18756891.2016.1256576] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022] Open
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Reiser RHS, Bedregal B. K-operators: An approach to the generation of interval-valued fuzzy implications from fuzzy implications and vice versa. Inf Sci (N Y) 2014. [DOI: 10.1016/j.ins.2012.12.047] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Chaira T, Panwar A. An Atanassov's intuitionistic Fuzzy Kernel Clustering for Medical Image segmentation. INT J COMPUT INT SYS 2014. [DOI: 10.1080/18756891.2013.865830] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022] Open
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BUSTINCE HUMBERTO, BARRENECHEA EDURNE, PAGOLA MIGUEL, FERNANDEZ JAVIER, GUERRA CARLOS, COUTO PEDRO, MELO-PINTO PEDRO. GENERALIZED ATANASSOV'S INTUITIONISTIC FUZZY INDEX: CONSTRUCTION OF ATANASSOV'S FUZZY ENTROPY FROM FUZZY IMPLICATION OPERATORS. INT J UNCERTAIN FUZZ 2011. [DOI: 10.1142/s0218488511006885] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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.
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Affiliation(s)
- HUMBERTO BUSTINCE
- Automática y Computación, Universidad Pública de Navarra, Campus Arrosadía, s/n 31006, Pamplona, 31006, Spain
| | - EDURNE BARRENECHEA
- Automática y Computación, Universidad Pública de Navarra, Campus Arrosadía, s/n 31006, Pamplona, 31006, Spain
| | - MIGUEL PAGOLA
- Automática y Computación, Universidad Pública de Navarra, Campus Arrosadía, s/n 31006, Pamplona, 31006, Spain
| | - JAVIER FERNANDEZ
- Automática y Computación, Universidad Pública de Navarra, Campus Arrosadía, s/n 31006, Pamplona, 31006, Spain
| | - CARLOS GUERRA
- Automática y Computación, Universidad Pública de Navarra, Campus Arrosadía, s/n 31006, Pamplona, 31006, Spain
| | - PEDRO COUTO
- Universidad de Trás-os-Montes e Alto Douro, Vila Real, Portugal
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