A new view on the relationships between interval valued and intuitionistic fuzzy sets

Camilo Franco de los Ríos; J. Tinguaro Rodríguez; Javier Montero; Daniel Gómez

A new view on the relationships between interval valued and intuitionistic fuzzy sets

Camilo Franco de los Ríos, J. Tinguaro Rodríguez, Javier Montero, Daniel Gómez

Section for Production, Markets and Policy

Abstract

This paper proposes a novel approach to analyze the relationship between interval valued fuzzy sets (IVFS) and Atanassov’s intuitionistic fuzzy sets (AIFS), based on the recently introduced notion of paired structure. It is suggested that the different semantics of IVFS and AIFS, with respect to their particular purposes as extensions of fuzzy sets, can be formally recovered and separated in the framework of paired structures, pointing out that both models actually provide a quite different representational performance.

Original language	English
Title of host publication	Uncertainty modelling in knowledge engineering and decision making : Proceedings of the 12th International FLINS Conference
Editors	Xianyi Zeng, Jie Lu, Etienne E. Kerre, Luis Martinez, Ludovic Koehl
Number of pages	7
Publisher	World Scientific
Publication date	2016
Pages	105-111
ISBN (Print)	978-981-3146-96-9
Publication status	Published - 2016
Event	International FLINS Conference - Roubaix, France Duration: 24 Aug 2016 → 26 Aug 2016 Conference number: 12

Conference

Conference	International FLINS Conference
Number	12
Country/Territory	France
City	Roubaix
Period	24/08/2016 → 26/08/2016

Series	World Scientific Proceedings Series on Computer Engineering and Information Science
Volume	10
ISSN	1793-7868

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Franco de los Ríos, C., Tinguaro Rodríguez, J., Montero, J., & Gómez, D. (2016). A new view on the relationships between interval valued and intuitionistic fuzzy sets. In X. Zeng, J. Lu, E. E. Kerre, L. Martinez, & L. Koehl (Eds.), Uncertainty modelling in knowledge engineering and decision making : Proceedings of the 12th International FLINS Conference (pp. 105-111). World Scientific. World Scientific Proceedings Series on Computer Engineering and Information Science Vol. 10 https://books.google.dk/books?hl=en&lr=&id=14z4DAAAQBAJ&oi=fnd&pg=PA105&ots=p3MIHg59st&sig=9qwWuKNkmfNlF8N15s2EXE6fu9s&redir_esc=y%23v=onepage&q&f=false

A new view on the relationships between interval valued and intuitionistic fuzzy sets. / Franco de los Ríos, Camilo; Tinguaro Rodríguez, J.; Montero, Javier et al.

Uncertainty modelling in knowledge engineering and decision making : Proceedings of the 12th International FLINS Conference. ed. / Xianyi Zeng; Jie Lu; Etienne E. Kerre; Luis Martinez; Ludovic Koehl. World Scientific, 2016. p. 105-111 (World Scientific Proceedings Series on Computer Engineering and Information Science, Vol. 10).

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Franco de los Ríos, C, Tinguaro Rodríguez, J, Montero, J & Gómez, D 2016, A new view on the relationships between interval valued and intuitionistic fuzzy sets. in X Zeng, J Lu, EE Kerre, L Martinez & L Koehl (eds), Uncertainty modelling in knowledge engineering and decision making : Proceedings of the 12th International FLINS Conference. World Scientific, World Scientific Proceedings Series on Computer Engineering and Information Science, vol. 10, pp. 105-111, International FLINS Conference, Roubaix, France, 24/08/2016. <https://books.google.dk/books?hl=en&lr=&id=14z4DAAAQBAJ&oi=fnd&pg=PA105&ots=p3MIHg59st&sig=9qwWuKNkmfNlF8N15s2EXE6fu9s&redir_esc=y%23v=onepage&q&f=false>

Franco de los Ríos C, Tinguaro Rodríguez J, Montero J, Gómez D. A new view on the relationships between interval valued and intuitionistic fuzzy sets. In Zeng X, Lu J, Kerre EE, Martinez L, Koehl L, editors, Uncertainty modelling in knowledge engineering and decision making : Proceedings of the 12th International FLINS Conference. World Scientific. 2016. p. 105-111. (World Scientific Proceedings Series on Computer Engineering and Information Science, Vol. 10).

Franco de los Ríos, Camilo ; Tinguaro Rodríguez, J. ; Montero, Javier et al. / A new view on the relationships between interval valued and intuitionistic fuzzy sets. Uncertainty modelling in knowledge engineering and decision making : Proceedings of the 12th International FLINS Conference. editor / Xianyi Zeng ; Jie Lu ; Etienne E. Kerre ; Luis Martinez ; Ludovic Koehl. World Scientific, 2016. pp. 105-111 (World Scientific Proceedings Series on Computer Engineering and Information Science, Vol. 10).

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AB - This paper proposes a novel approach to analyze the relationship between interval valued fuzzy sets (IVFS) and Atanassov’s intuitionistic fuzzy sets (AIFS), based on the recently introduced notion of paired structure. It is suggested that the different semantics of IVFS and AIFS, with respect to their particular purposes as extensions of fuzzy sets, can be formally recovered and separated in the framework of paired structures, pointing out that both models actually provide a quite different representational performance.

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BT - Uncertainty modelling in knowledge engineering and decision making

A2 - Zeng, Xianyi

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PB - World Scientific

T2 - International FLINS Conference

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ER -

A new view on the relationships between interval valued and intuitionistic fuzzy sets

Abstract

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