BL-algebras with pseudo MV-valuations

  • Yongwei Yang
  • Yongzhao Wang
  • Qiaoling Wang
Keywords: BL-agelbras, pseudo MV-valuations, pseudo MV-metric spaces, pseudo MV-metrics

Abstract

The concept of pseudo MV-valuations on BL-algebras is introduced, which provides a new idea for the study of BL-algebras from MV-algebras. Some related
characterizations of pseudo MV-valuations and conditions for a function to be a pseudo MV-valuation are provided. The notion of pseudo MV-metric spaces is also
given, and properties of pseudo MV-metric spaces are given by discussing pseudo MV-metrics induced by pseudo MV-valuations.

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Author Biographies

Yongwei Yang

School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China

Yongzhao Wang

School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China

Qiaoling Wang

School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China

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Published
2018-03-31
How to Cite
Yang, Y., Wang, Y., & Wang, Q. (2018). BL-algebras with pseudo MV-valuations. IJRDO -JOURNAL OF MATHEMATICS, 4(3), 01-08. https://doi.org/10.53555/m.v4i3.1946