On a New Class of Implications in Fuzzy Logic

Yun Shi; Bart Van Gasse; Da Ruan; Etienne E. Kerre

doi:10.1007/978-3-642-14055-6_55

On a New Class of Implications in Fuzzy Logic

Yun Shi, Bart Van Gasse, Da Ruan, Etienne E. Kerre

Research output › peer-review

8 Scopus citations

Abstract

We define and study a new class of implications determined only by a negation. We examine under which conditions the most popular eight axioms for implications are satisfied. We obtain the intersection of the new class of implications with the S- and R- implications.

Original language	English
Title of host publication	Information Processing and Management of Uncertainty in Knowledge-Based Systems Theory and Methods
Subtitle of host publication	13th International Conference, IPMU 2010 Dortmund, Germny, June 28-July 2, 2010 Proceedings,ParT1
Editors	Eyke Hullermeier, Rudolf Kruse, Frank Hoffmann
Pages	525-534
Number of pages	10
Volume	80
ISBN (Electronic)	978-3-642-14055-6
DOIs	https://doi.org/10.1007/978-3-642-14055-6_55
State	Published - 2010
Event	Information Processing and Management of Uncertainty in Knowledge-Based Systems: Theory and Methods, 13th International Conference, IPMU 2010, Proceedings - Dortmund Duration: 28 Jun 2010 → 2 Jul 2010

Publication series

Name	Communications in Computer and Information Science
Volume	80 PART 1
ISSN (Print)	1865-0929

Conference

Conference	Information Processing and Management of Uncertainty in Knowledge-Based Systems: Theory and Methods, 13th International Conference, IPMU 2010, Proceedings
Country/Territory	Germany
City	Dortmund
Period	2010-06-28 → 2010-07-02

ASJC Scopus subject areas

General Computer Science
General Mathematics

Access to Document

10.1007/978-3-642-14055-6_55

Cite this

Shi, Y., Van Gasse, B., Ruan, D., & Kerre, E. E. (2010). On a New Class of Implications in Fuzzy Logic. In E. Hullermeier, R. Kruse, & F. Hoffmann (Eds.), Information Processing and Management of Uncertainty in Knowledge-Based Systems Theory and Methods: 13th International Conference, IPMU 2010 Dortmund, Germny, June 28-July 2, 2010 Proceedings,ParT1 (Vol. 80, pp. 525-534). (Communications in Computer and Information Science; Vol. 80 PART 1). https://doi.org/10.1007/978-3-642-14055-6_55

Shi, Yun ; Van Gasse, Bart ; Ruan, Da et al. / On a New Class of Implications in Fuzzy Logic. Information Processing and Management of Uncertainty in Knowledge-Based Systems Theory and Methods: 13th International Conference, IPMU 2010 Dortmund, Germny, June 28-July 2, 2010 Proceedings,ParT1. editor / Eyke Hullermeier ; Rudolf Kruse ; Frank Hoffmann. Vol. 80 2010. pp. 525-534 (Communications in Computer and Information Science).

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abstract = "We define and study a new class of implications determined only by a negation. We examine under which conditions the most popular eight axioms for implications are satisfied. We obtain the intersection of the new class of implications with the S- and R- implications.",

keywords = "{\L}ukasiewicz implication, Fuzzy implication, Fuzzy implication axiom, Negation, R-implication, S-implication, Sugeno negation",

author = "Yun Shi and {Van Gasse}, Bart and Da Ruan and Kerre, {Etienne E.}",

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booktitle = "Information Processing and Management of Uncertainty in Knowledge-Based Systems Theory and Methods",

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Shi, Y, Van Gasse, B, Ruan, D & Kerre, EE 2010, On a New Class of Implications in Fuzzy Logic. in E Hullermeier, R Kruse & F Hoffmann (eds), Information Processing and Management of Uncertainty in Knowledge-Based Systems Theory and Methods: 13th International Conference, IPMU 2010 Dortmund, Germny, June 28-July 2, 2010 Proceedings,ParT1. vol. 80, Communications in Computer and Information Science, vol. 80 PART 1, pp. 525-534, Information Processing and Management of Uncertainty in Knowledge-Based Systems: Theory and Methods, 13th International Conference, IPMU 2010, Proceedings, Dortmund, Germany, 2010-06-28. https://doi.org/10.1007/978-3-642-14055-6_55

On a New Class of Implications in Fuzzy Logic. / Shi, Yun; Van Gasse, Bart; Ruan, Da et al.
Information Processing and Management of Uncertainty in Knowledge-Based Systems Theory and Methods: 13th International Conference, IPMU 2010 Dortmund, Germny, June 28-July 2, 2010 Proceedings,ParT1. ed. / Eyke Hullermeier; Rudolf Kruse; Frank Hoffmann. Vol. 80 2010. p. 525-534 (Communications in Computer and Information Science; Vol. 80 PART 1).

Research output › peer-review

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Shi Y, Van Gasse B, Ruan D, Kerre EE. On a New Class of Implications in Fuzzy Logic. In Hullermeier E, Kruse R, Hoffmann F, editors, Information Processing and Management of Uncertainty in Knowledge-Based Systems Theory and Methods: 13th International Conference, IPMU 2010 Dortmund, Germny, June 28-July 2, 2010 Proceedings,ParT1. Vol. 80. 2010. p. 525-534. (Communications in Computer and Information Science). doi: 10.1007/978-3-642-14055-6_55