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Knowledge and Systems Engineering pp 123–136Cite as

New Composition of Intuitionistic Fuzzy Relations

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 244))

Abstract

Fuzzy relations have applications in fields such as psychology, medicine, economics, and sociology. Burillo and Bustince introduced the concepts of intuitionistic fuzzy relation and a composition of intuitionistic fuzzy relations using four triangular norms or conorms α, β, λ, ρ (we abbreviate to α, β, λ, ρ-composition). In this paper, we define a new composition of intuitionistic fuzzy relations using two intuitionistic fuzzy triangular norms or intuitionistic fuzzy triangular conorms (Φ, Ψ-composition for short). It is shown that α, β, λ, ρ-composition is special case of Φ, Ψ-composition. Many properties of Φ, Ψ-composition are stated and proved.

This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 102.01-2012.14.

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Author information

Authors and Affiliations

  1. Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, Vietnam

    Bui Cong Cuong

  2. Faculty of Information Technology, National University of Civil Engineering, Hanoi, Vietnam

    Pham Hong Phong

Authors
  1. Bui Cong Cuong
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  2. Pham Hong Phong
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Corresponding author

Correspondence to Bui Cong Cuong .

Editor information

Editors and Affiliations

  1. School of Knowledge Science, Japan Advanced Institute of Science and Technology, Ishikawa, Japan

    Van Nam Huynh

  2. UMR CNRS 7253 Heudiasyc, Universite de Technologie de Compiegne, Compiegne Cedex, France

    Thierry Denoeux

  3. Faculty of Information Technology, Hanoi National University of Education, Hanoi, Vietnam

    Dang Hung Tran

  4. Faculty of Information Technology, University of Engineering and Technology, Hanoi, Vietnam

    Anh Cuong Le

  5. Faculty of Information Technology, University of Engineering and Technology, Hanoi, Vietnam

    Son Bao Pham

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© 2014 Springer International Publishing Switzerland

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Cuong, B.C., Phong, P.H. (2014). New Composition of Intuitionistic Fuzzy Relations. In: Huynh, V., Denoeux, T., Tran, D., Le, A., Pham, S. (eds) Knowledge and Systems Engineering. Advances in Intelligent Systems and Computing, vol 244. Springer, Cham. https://doi.org/10.1007/978-3-319-02741-8_12

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  • DOI: https://doi.org/10.1007/978-3-319-02741-8_12

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-02740-1

  • Online ISBN: 978-3-319-02741-8

  • eBook Packages: EngineeringEngineering (R0)

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