International Journal of Fuzzy Logic and Intelligent Systems

  • 제14권3호
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  • Pages.222-230
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  • 2014
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  • 1598-2645(pISSN)
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  • 2093-744X(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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L-upper Approximation Operators and Join Preserving Maps

  • Kim, Yong Chan (Department of Mathematics, Gangneung-Wonju National University) ;
  • Kim, Young Sun (Department of Applied Mathematics, Pai Chai University)
  • 투고 : 2014.01.17
  • 심사 : 2014.09.22
  • 발행 : 2014.09.25
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초록

In this paper, we investigate the properties of join and meet preserving maps in complete residuated lattice using Zhang's the fuzzy complete lattice which is defined by join and meet on fuzzy posets. We define L-upper (resp. L-lower) approximation operators as a generalization of fuzzy rough sets in complete residuated lattices. Moreover, we investigate the relations between L-upper (resp. L-lower) approximation operators and L-fuzzy preorders. We study various L-fuzzy preorders on $L^X$. They are considered as an important mathematical tool for algebraic structure of fuzzy contexts.

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참고문헌

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