Journal of Applied and Pure Mathematics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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AN ALGEBRAIC STRUCTURE INDUCED BY A FUZZY BI-PARTIALLY ORDERED SPACE I

  • JU-MOK OH (Department of Mathematics and Physics, Kangnung-Wonju National University)
  • Received : 2023.05.17
  • Accepted : 2023.08.22
  • Published : 2023.11.30
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Abstract

We introduce an algebraic structure induced by a fuzzy bipartial order on a complete residuated lattices with the double negative law. We undertake an investigation into the properties of fuzzy bi-partial orders, including their various characteristics and features. We demonstrate that the two families of l-stable and r-stable fuzzy sets can be regarded as complete lattices, and we establish that these two families are anti-isomorphic. Furthermore, we provide two examples related to them.

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Acknowledgement

This work was supported by the Research Institute of Natural Science of Gangneung-Wonju National University.

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