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L-Almost separation axioms in L-fuzzifying-bitopologies via complete residuated lattice-valued logic

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Abstract

In this work, an extension of almost separation axioms is introduced in lattice valued theory. Such a generalized almost separation axioms is a structure of (i, j)-regular open set of its lattice-valued satisfying axioms. It uses two lattices one complete residuated lattice, and another strictly two-sided commutative quantale. It is a logical generalization of the notions of almost separation axioms. In our definition of generalized fuzzifying separation axioms, each notions can be regarded as relations between the one another to some degree.

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Acknowledgements

The authors wish to thank the reviewers for modification and guidance during work.

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Authors and Affiliations

  1. High Institute of Engineering and Technology, King Marioutt, P.O. Box 3135, Alexandria, Egypt

    Mohammed M. Khalaf

  2. Department of Mathematics, Faculty of Science and Arts at Belqarn, Bisha University, P.O. Box 60, Sabt Al-Alayah, 61985, Saudi Arabia

    A. A. Abd El-Latif

  3. High Institute of Computer, King Marriott, Alexandria, Egypt

    A. A. Abd El-Latif

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  1. Mohammed M. Khalaf
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  2. A. A. Abd El-Latif
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Correspondence to Mohammed M. Khalaf.

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Khalaf, M.M., El-Latif, A.A.A. L-Almost separation axioms in L-fuzzifying-bitopologies via complete residuated lattice-valued logic . Int. J. Appl. Comput. Math 5, 2 (2019). https://doi.org/10.1007/s40819-018-0575-x

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  • DOI: https://doi.org/10.1007/s40819-018-0575-x

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