Results 231 to 240 of about 10,888 (264)

Entropies on Bounded Lattices

2011 41st IEEE International Symposium on Multiple-Valued Logic, 2011
We introduce the notion of entropy on arbitrary lattices and we study several of its properties. Explicit forms for entropy are obtained for entropies on graded lattices that satisfy certain regularity conditions. The relationships between entropies and metrics defined on lattices are also explored.
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Operations on bounded fuzzy lattices

2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013
We consider the notion of fuzzy lattice introduced by Chon (Korean J. Math 17 (2009), No. 4, 361-374), and define the operations of product and collapsed sum on bounded fuzzy lattice analogous to the classical theory. Also, we prove that the product and collapsed sum on bounded fuzzy lattices are fuzzy posets and, consequently, bounded fuzzy lattices.
Ivan Mezzomo, Benjamín René Callejas Bedregal, Regivan H. N. Santiago   +2 more
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Construction of uninorms on bounded lattices

2014 IEEE 12th International Symposium on Intelligent Systems and Informatics (SISY), 2014
Karacal and Mesiar showed that it is possible to construct uninorms on an arbitrary bounded lattice. Particularly, they constructed the weakest and the strongest uninorm. In this paper another method for a construction of uninorms on bounded lattices is proposed.
Slavka Bodjanova, Martin Kalina
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Characterization of uninorms on bounded lattices

Fuzzy Sets and Systems, 2017
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Funda Karaçal, Ümit Ertugrul, Radko Mesiar   +2 more
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On Unification for Bounded Distributive Lattices

ACM Transactions on Computational Logic, 2000
We give a method for deciding unifiability in the variety of bounded distributive lattices. For this, we reduce the problem of deciding whether a unification problem S has a solution to the problem of checking the satisfiability of a set Φ S of ground clauses.
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Medians and nullnorms on bounded lattices

Fuzzy Sets and Systems, 2016
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Mehmet Akif Ince, Funda Karaçal, Radko Mesiar   +2 more
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Banach Lattices of Bounded Operators

Mathematische Nachrichten, 1979
AbstractThere are given two equivalent methods to construct BANACH lattices of compact operators. All known examples of such lattices are included.
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On the structure of uninorms on bounded lattices

Fuzzy Sets and Systems, 2019
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The Class of Bounded Lattices Is Not Axiomatizable

Algebra and Logic, 2016
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A Survey on Nullnorms on Bounded Lattices

2017
Nullnorms are generalizations of triangular norms (t-norms) and triangular conorms (t-conorms) with a zero element to be an arbitrary point from an arbitrary bounded lattice. In this paper, we study nullnorms on bounded lattices. We examine some properties of nullnorms considering the concepts of idempotency, local internality, conjunctivity and ...
Gül Deniz Çayli, Funda Karaçal
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