In this paper, we define the rank of Lattice Valued Picture Fuzzy Topologies and categorize them according to their rank. We introduce the concepts of base and sub-base of Lattice Valued Picture Fuzzy Topological Spaces. Using these concepts, we generate Lattice Valued Picture Fuzzy Topologies of various ranks and sub-bases.

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Construction and Classification of Lattice Valued Picture Fuzzy Topologies

  • P. Tweena Evangelin,
  • A. Francina Shalini

摘要

In this paper, we define the rank of Lattice Valued Picture Fuzzy Topologies and categorize them according to their rank. We introduce the concepts of base and sub-base of Lattice Valued Picture Fuzzy Topological Spaces. Using these concepts, we generate Lattice Valued Picture Fuzzy Topologies of various ranks and sub-bases.