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A Study of Intuitionistic Fuzzy Associative Filter in Lattice Implication Algebra |
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PP: 121-126 |
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doi:10.18576/amis/13S112
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Author(s) |
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J. Revathi,
D. Kalamani,
C. Duraisamy,
K. Arun Prakash,
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Abstract |
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| In discrete mathematics, automated reasoning is quite useful for real-time applications involving autonomous vehicles and robots. A Lattice Implication Algebra (LIA) assumes implication values in a general complete mathematical lattice toward enhancing the representation of ambiguity in reasoning. Since real numbers stem from real-world measurements, the present study sets a ground for real-world applications of LIA. The aforementioned lattice of intervals follows a capacity to optimize LIA reasoning. In this paper, the notion of intuitionistic fuzzy associative filter in lattice implication algebra is introduced. The equivalent conditions for an intuitionistic fuzzy filter to become an intuitionistic fuzzy associative filter are explained. In addition, the relations among intuitionistic fuzzy associative filter, intuitionistic fuzzy fantastic filter and intuitionistic fuzzy positive implicative filter are elaborated..
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