The Decomposition Theorem for a Fuzzy Quasinorm

Rui Gao, Xinxin Li, Jianrong Wu and Nan-Jing Huang

Journal of Mathematics, 2020, vol. 2020, 1-7

Abstract: This paper deals with fuzzy quasinormed spaces in the sense of Alegre and Romaguera. After introducing the concept of the family of star quasiseminorms, we prove the decomposition theorem for a fuzzy quasinorm with general t-norm, characterize fuzzy quasinorms in terms of families of star quasiseminorms, and establish the connection between the fuzzy quasinorm and the family of quasinorms.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8845283

DOI: 10.1155/2020/8845283

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