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Generalized Extension Principle

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Abstract

The conventional extension principle was established on the Euclidean space and defined by considering the minimum or t-norm operator. The generalized extension principle proposed in this paper is established on the Hausdorff space and defined by considering an operator that is more general than the t-norm operator. On the other hand, based on the topological structure, we also discuss the properties of 0-level sets by considering the closure. Many interesting and useful equalities considering the 0-level sets will be obtained in this paper.

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Authors and Affiliations

  1. Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, 802, Taiwan

    Hsien-Chung Wu

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  1. Hsien-Chung Wu
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Correspondence to Hsien-Chung Wu.

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Wu, HC. Generalized Extension Principle. Fuzzy Optim Decis Making 9, 31–68 (2010). https://doi.org/10.1007/s10700-010-9075-0

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  • DOI: https://doi.org/10.1007/s10700-010-9075-0

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