Search Results - "Wang, Zhudeng"
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Residual coimplicators of left and right uninorms on a complete lattice
Published in Fuzzy sets and systems (16-07-2009)“…Uninorms are an important generalization of triangular norms and conorms, having a neutral element lying anywhere in the unit interval, and left and right…”
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2
Residual operations of left and right uninorms on a complete lattice
Published in Fuzzy sets and systems (2009)“…Uninorms are an important generalization of triangular norms and conorms, having a neutral element lying anywhere in the unit interval. In this paper, we…”
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3
On the direct decomposability of pseudo-t-norms, t-norms and implication operators on product lattices
Published in Fuzzy sets and systems (16-11-2007)“…In this paper, we discuss the direct decomposability of pseudo-t-norms and t-norms on a product lattice, characterize the implication operator on a product…”
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4
Generating pseudo-t-norms and implication operators
Published in Fuzzy sets and systems (01-02-2006)“…In this paper, we show that the set of all pseudo-t-norms, the set of all implications, the set of all infinitely ∨ -distributive pseudo-t-norms, and the set…”
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5
Left (right) semi-uninorms and coimplications on a complete lattice
Published in Fuzzy sets and systems (15-03-2016)“…In this paper, we firstly discuss the deresidual operations of left (right) semi-uninorms and show which properties they satisfy. Then, we investigate the left…”
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6
Idempotent uninorms on a complete chain
Published in Fuzzy sets and systems (05-11-2022)“…We characterize idempotent uninorms on a complete chain in terms of decreasing unary functions with a symmetry-related property. As a particular case, we…”
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7
Pseudo-uninorms and coimplications on a complete lattice
Published in Fuzzy sets and systems (01-08-2013)“…Pseudo-uninorms are a generalization of uninorms by removing the commutativity from the axioms of the uninorms. In this paper, we further study pseudo-uninorms…”
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8
Discussing discrete 2-uninorms using lower and upper ordinal sums
Published in Information sciences (04-01-2021)“…A class of aggregation functions, called 2-uninorms, was introduced by Akella to bring uninorms and nullnorms into a common framework. In this article, a class…”
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Deresiduums of implications on a complete lattice
Published in Information sciences (20-12-2015)“…In this paper, we first discuss some properties of residuum and deresiduum of a binary operation on a complete lattice. Then, we investigate the relations…”
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10
Constructing implications and coimplications on a complete lattice
Published in Fuzzy sets and systems (16-07-2014)“…In this paper, we firstly give out the formulas for calculating the upper (lower) approximation implications and coimplications of a binary operation on a…”
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11
On triangular norms representable as ordinal sums based on interior operators on a bounded meet semilattice
Published in Fuzzy sets and systems (15-07-2022)“…First, we present construction methods for interior operators on a meet semilattice. Second, under the assumption that the underlying meet semilattices…”
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12
On the representation of internal uninorms on a bounded lattice
Published in Fuzzy sets and systems (01-07-2024)“…Internal uninorms on a bounded lattice always output one of the two input values and are nothing else but idempotent uninorms when the lattice is a chain. In…”
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13
A note on the representation theorem for nullnorms on bounded lattices
Published in Fuzzy sets and systems (30-11-2023)“…Recently, we presented a complete representation for nullnorms on bounded lattices, a class of ordered semigroups, in terms of two order-preserving maps, a…”
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14
A complete representation theorem for nullnorms on bounded lattices with ample illustrations
Published in Fuzzy sets and systems (15-07-2022)“…We present a complete representation theorem for nullnorms on bounded lattices. Explicitly, any nullnorm on a bounded lattice can be represented in terms of…”
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15
A representation of nullnorms on a bounded lattice in terms of beam operations
Published in Fuzzy sets and systems (20-01-2022)“…We introduce three broad classes of nullnorms on a bounded lattice and lay bare the structure of their members. For that purpose, we introduce particular…”
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A characterization of the classes Umin and Umax of uninorms on a bounded lattice
Published in Fuzzy sets and systems (30-10-2021)“…As generalizations of the classes Umin and Umax of uninorms on the real unit interval, we introduce the classes Umin and Umax of uninorms on a bounded lattice…”
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A characterization of idempotent nullnorms on bounded lattices
Published in Information sciences (01-03-2022)“…We characterize the class of idempotent nullnorms on a bounded lattice in terms of particular common solutions to two equations related to the underlying meet…”
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Idempotent uninorms on bounded lattices with at most a single point incomparable with the neutral element: Part II
Published in International journal of general systems (13-08-2024)Get full text
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Idempotent uninorms on bounded lattices with at most single point incomparable with the neutral element: Part I
Published in International journal of general systems (02-08-2024)Get full text
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Some properties of L-fuzzy approximation spaces based on bounded integral residuated lattices
Published in Information sciences (10-09-2014)“…In this paper, we present a general framework for the study of L-fuzzy rough sets based on bounded integral residuated lattices. We introduce and discuss the…”
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