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Inclusion Measures in Intuitionistic Fuzzy Set Theory

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2711))

Abstract

Twenty years after their inception, intuitionistic fuzzy sets are on the rise towards making their “claim to fame”. Competing alongside various other, often closely related, formalisms, they are catering to the needs of a more demanding and rapidly expanding knowledge-based systems industry. In this paper, we develop the notion of a graded inclusion indicator within this setting, drawing inspiration from related concepts in fuzzy set theory, yet keeping a keen eye on those particular challenges raised specifically by intuitionistic fuzzy set theory. The use of our work is demonstrated by its applications in approximate reasoning and non-probabilistic entropy calculation.

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© 2003 Springer-Verlag Berlin Heidelberg

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Cornelis, C., Kerre, E. (2003). Inclusion Measures in Intuitionistic Fuzzy Set Theory. In: Nielsen, T.D., Zhang, N.L. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2003. Lecture Notes in Computer Science(), vol 2711. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45062-7_28

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  • DOI: https://doi.org/10.1007/978-3-540-45062-7_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40494-1

  • Online ISBN: 978-3-540-45062-7

  • eBook Packages: Springer Book Archive

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