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Properties of General Extensional Fuzzy Cuts

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Intelligent and Fuzzy Systems (INFUS 2023)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 758))

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Abstract

Using the theory of dual pairs of semirings as value sets of fuzzy set structures, the concepts of relational and extensional fuzzy cuts are defined. The possibility of extending any cut system to the extensional fuzzy cut and the reflective nature of the category of these structures are investigated. Using dual pairs of semirings, these results can be immediately applied to new types of fuzzy structure, such as intuitionistic, neutrosophic, or fuzzy soft sets.

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Authors and Affiliations

  1. Institute for Research and Applications of Fuzzy Modeling University of Ostrava, 30. dubna 22, 701 03 Ostrava 1, Ostrava, Czech Republic

    Jiří Močkoř

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  1. Jiří Močkoř
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Correspondence to Jiří Močkoř .

Editor information

Editors and Affiliations

  1. Department of Industrial Engineering, Istanbul Technical University, Istanbul, Türkiye

    Cengiz Kahraman

  2. Department of Industrial Engineering, Istanbul Technical University, Istanbul, Türkiye

    Irem Ucal Sari

  3. Department of Industrial Engineering, Istanbul Technical University, İstanbul, Türkiye

    Basar Oztaysi

  4. Department of Industrial Engineering, Yildiz Technical University, Istanbul, Türkiye

    Selcuk Cebi

  5. Department of Industrial Engineering, Istanbul Technical University, Istanbul, Türkiye

    Sezi Cevik Onar

  6. Department of Industrial Engineering, Galatasaray University, Istanbul, Türkiye

    A. Çağrı Tolga

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Močkoř, J. (2023). Properties of General Extensional Fuzzy Cuts. In: Kahraman, C., Sari, I.U., Oztaysi, B., Cebi, S., Cevik Onar, S., Tolga, A.Ç. (eds) Intelligent and Fuzzy Systems. INFUS 2023. Lecture Notes in Networks and Systems, vol 758. Springer, Cham. https://doi.org/10.1007/978-3-031-39774-5_17

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