Many valued lattices and their representations

نویسندگان

  • Hongbin Zhao
  • Dexue Zhang
چکیده

This paper presents an investigation of many valued lattices from the point of view of enriched category theory. For a bounded partially ordered set P , the conditions for P to become a lattice can be postulated as existence of certain adjunctions. Reformulating these adjunctions, by aid of enriched category theory, in many valued setting, two kinds of many valued lattices, weak -lattices and -lattices, are introduced. It is shown that the notion of -lattices coincides with that of lattice fuzzy orders of Bělohlávek; and the notion of weak -lattices coincides with that of vague lattices of Demirci. © 2007 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Fuzzy Sets and Systems

دوره 159  شماره 

صفحات  -

تاریخ انتشار 2008