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Generalized fuzzy filters of R 0-algebras

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Abstract

In this paper, we introduce the notions of interval valued \({(\in,\in\vee q)}\)-fuzzy filters and interval valued \({(\in,\in\vee q)}\) -fuzzy Boolean (implicative) filters in R 0-algebras and investigate some of their related properties. Some characterization theorems of these generalized fuzzy filters are derived. In particular, we prove that an interval valued fuzzy set F in R 0-algebras is an interval valued \({(\in,\in\vee q)}\)-fuzzy Boolean filter if and only if it is an interval valued \({(\in,\in\vee q)}\)-fuzzy implicative filter.

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Authors and Affiliations

  1. Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province, 445000, People’s Republic of China

    Xueling Ma & Jianming Zhan

  2. Department of Applied Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, 610031, People’s Republic of China

    Yang Xu

Authors
  1. Xueling Ma
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  2. Jianming Zhan
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  3. Yang Xu
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Correspondence to Jianming Zhan.

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Ma, X., Zhan, J. & Xu, Y. Generalized fuzzy filters of R 0-algebras. Soft Comput 11, 1079–1087 (2007). https://doi.org/10.1007/s00500-007-0165-z

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  • DOI: https://doi.org/10.1007/s00500-007-0165-z

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