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Approximation operators and fuzzy rough sets in co-residuated lattices

김용찬|오주목
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2021.03|한국수학논문집 (Korean Journal of Mathematics)|제29권 제1호|pp. 81-89

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참고문헌

키워드

$(Alexandrov topologiesDistance functionsco-residuated latticesapproximation operatorsoplusominus)$-fuzzy rough set
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초록

In this paper, we introduce the notions of a distance function, Alexandrov topology and $\ominus$-upper ($\oplus$-lower) approximation operator based on complete co-residuated lattices. Under various relations, we define $(\oplus, \ominus)$-fuzzy rough set on complete co-residuated lattices. Moreover, we study their properties and give their examples.

Abstract

In this paper, we introduce the notions of a distance function, Alexandrov topology and $\ominus$-upper ($\oplus$-lower) approximation operator based on complete co-residuated lattices. Under various relations, we define $(\oplus, \ominus)$-fuzzy rough set on complete co-residuated lattices. Moreover, we study their properties and give their examples.

참고문헌 (25)

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