Abstract
Fuzzy relations and their compositions have the same crucial importance for the fuzzy mathematics that is provided to mathematics by relations and their composition. The topic, since it attracted many scholars and influenced many areas in fuzzy modeling, has been extended on distinct directions including the recent one on the incorporation of excluding features. This article brings a mathematically similar yet semantically opposite extension, in particular, the concept of typical features. We show the appropriateness of such a new concept and investigate some of its properties. Furthermore, we discuss how the concept of typical features incorporated in fuzzy relational compositions may bring significant improvement of results of some applications. This fact is demonstrated on a real example of biological species classification.
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- 1.
The “S” in the name of the compositions implies the use of a t-conorm as this letter is often used to denote such an operation however, it has nothing common with our fuzzy relation S.
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Supported by LQ1602 NPU II “IT4Innovations in science” by the MŠMT.
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Štěpnička, M., Cao, N., Burda, M., Dolný, A. (2019). Typicality of Features in Fuzzy Relational Compositions. In: Kearfott, R., Batyrshin, I., Reformat, M., Ceberio, M., Kreinovich, V. (eds) Fuzzy Techniques: Theory and Applications. IFSA/NAFIPS 2019 2019. Advances in Intelligent Systems and Computing, vol 1000. Springer, Cham. https://doi.org/10.1007/978-3-030-21920-8_56
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