Fuzzy Optimization and Decision Making

, Volume 18, Issue 4, pp 399–432 | Cite as

Generalized extension principle for non-normal fuzzy sets

  • Hsien-Chung WuEmail author


The conventional extension principle is established on the Euclidean space and defined by considering the minimum or t-norm operator in which the fuzzy sets are usually assumed to be normal. The previous work on generalized extension principle was also based on the normal fuzzy sets. Since the non-normal fuzzy sets occur frequently in practical applications, in this paper, the generalized extension principle based on the non-normal fuzzy sets is established in which the general aggregation operator and Hausforff space are taken into account.


Extension principle Hausdorff space Topological vector space Generalized t-norm Generalized extension principle 



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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsNational Kaohsiung Normal UniversityKaohsiungTaiwan

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