2013Journal of Mathematical and Computational ScienceRequires access

L-approximations and join preserving operators

Yong Chan Kim

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Abstract

In this paper, we show that join (resp. meet, meet join, join meet) preserving maps and upper (resp. lower, meet join, join meet) approximation maps are equivalent in complete residuated lattices. We investigate relations between their maps and fuzzy connections.

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What this paper is about

In this paper, we show that join (resp. meet, meet join, join meet) preserving maps and upper (resp. lower, meet join, join meet) approximation maps are equivalent in complete residuated lattices. We investigate relations between their maps and fuzzy connections.

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Available abstract

In this paper, we show that join (resp. meet, meet join, join meet) preserving maps and upper (resp. lower, meet join, join meet) approximation maps are equivalent in complete residuated lattices. We investigate relations between their maps and fuzzy connections.

Key concepts: Join (topology), Residuated lattice, Mathematics, Fuzzy logic, Discrete mathematics, Algebra over a field, Pure mathematics, Combinatorics

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