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Transformation Techniques for Interval-Valued Intuitionistic Fuzzy Sets: Applications to Aggregation and Decision Making

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Fuzzy Logic and Technology, and Aggregation Operators (EUSFLAT 2023, AGOP 2023)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 14069))

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Abstract

This article investigates the use of two operational transformation techniques –that represent one interval-valued intuitionistic fuzzy number by two intuitionistic fuzzy numbers in a constructive manner– for the smooth aggregation of interval-valued intuitionistic fuzzy numbers, and for multi-attribute decision making in this framewok. Decisions and prioritizations are made by comparison laws involving the concepts of score and accuracy of an interval-valued intuitionistic fuzzy number. We show how these figures can be derived from the corresponding proxies for the intuitionistic fuzzy numbers that represent it. A comparative study concludes this investigation.

Alcantud is grateful to the Junta de Castilla y León and the European Regional Development Fund (Grant CLU-2019-03) for the financial support to the Research Unit of Excellence “Economic Management for Sustainability” (GECOS). The research of Santos-García was funded by the project ProCode-UCM (PID2019-108528RB-C22) from the Spanish Ministerio de Ciencia e Innovación.

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Author information

Authors and Affiliations

  1. BORDA Research Group and Multidisciplinary Institute of Enterprise (IME), University of Salamanca, Salamanca, Spain

    José Carlos R. Alcantud

  2. FADoSS Research Unit, Universidad Complutense de Madrid, Madrid, Spain

    Gustavo Santos-García

  3. Multidisciplinary Institute of Enterprise (IME), University of Salamanca, Salamanca, Spain

    Gustavo Santos-García

Authors
  1. José Carlos R. Alcantud
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  2. Gustavo Santos-García
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Correspondence to José Carlos R. Alcantud .

Editor information

Editors and Affiliations

  1. University of the Balearic Islands, Palma, Spain

    Sebastia Massanet

  2. University of Oviedo, Gijón, Spain

    Susana Montes

  3. University of the Balearic Islands, Palma, Spain

    Daniel Ruiz-Aguilera

  4. University of the Balearic Islands, Palma, Spain

    Manuel González-Hidalgo

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Alcantud, J.C.R., Santos-García, G. (2023). Transformation Techniques for Interval-Valued Intuitionistic Fuzzy Sets: Applications to Aggregation and Decision Making. In: Massanet, S., Montes, S., Ruiz-Aguilera, D., González-Hidalgo, M. (eds) Fuzzy Logic and Technology, and Aggregation Operators. EUSFLAT AGOP 2023 2023. Lecture Notes in Computer Science, vol 14069. Springer, Cham. https://doi.org/10.1007/978-3-031-39965-7_29

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  • DOI: https://doi.org/10.1007/978-3-031-39965-7_29

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-39964-0

  • Online ISBN: 978-3-031-39965-7

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