Antiatomicity of the lattice of Borel structures and extensions of two-valued measures
Bohdan Aniszczyk (1987)
Colloquium Mathematicae
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Bohdan Aniszczyk (1987)
Colloquium Mathematicae
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B. Aniszczyk (1987)
Colloquium Mathematicae
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Ponnley, James (2003)
International Journal of Mathematics and Mathematical Sciences
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H. Sarbadhikari, K. P. S. Bhaskara Rao, E. Grzegorek (1974)
Colloquium Mathematicae
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B. V. Rao (1971)
Colloquium Mathematicae
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Pap, Endre (1998)
Novi Sad Journal of Mathematics
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Sándor Radeleczki (2002)
Discussiones Mathematicae - General Algebra and Applications
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We define and study classification systems in an arbitrary CJ-generated complete lattice L. Introducing a partial order among the classification systems of L, we obtain a complete lattice denoted by Cls(L). By using the elements of the classification systems, another lattice is also constructed: the box lattice B(L) of L. We show that B(L) is an atomistic complete lattice, moreover Cls(L)=Cls(B(L)). If B(L) is a pseudocomplemented lattice, then every classification system of L is independent...
Caspard, Nathalie (1999)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Ivan Kramosil (2005)
Kybernetika
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Lattice-valued possibilistic measures, conceived and developed in more detail by G. De Cooman in 1997 [2], enabled to apply the main ideas on which the real-valued possibilistic measures are founded also to the situations often occurring in the real world around, when the degrees of possibility, ascribed to various events charged by uncertainty, are comparable only quantitatively by the relations like “greater than” or “not smaller than”, including the particular cases when such degrees...
BALTASAR RODRÍGUEZ-SALINAS (1999)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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M. Nesibe Kesicioğlu (2017)
Kybernetika
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In this paper, an equivalence on the class of nullnorms on a bounded lattice based on the equality of the orders induced by nullnorms is introduced. The set of all incomparable elements w.r.t. the order induced by nullnorms is investigated. Finally, the recently posed open problems have been solved.