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Inspired by the thought of distributivity between semi-t-operator and S-uninorm, this paper primarily explores the distributivity between extended semi-t-operator and extended S-uninorm on fuzzy truth value. First, Zadeh-extended semi-t-operator ...

One can construct t-norms on product posets by direct products of t-norms straightforwardly. However, there exist many t-norms on product posets which are not direct products. In this paper, some new t-norms which are not direct products on ...

In this paper, we further study the distributivity for uninorms with noncontinuous underlying operators, where the first uninorm is in one of the known classes of uninorms, i.e., U max, U min, uninorms continuous in the open unit ...

Recently, ordinal sums of fuzzy implications yielding fuzzy implications have been extensively studied. In particular, Drygaś and Król proposed a new method to construct fuzzy implications inspired by the constructions of residual ...

This paper mainly investigates the distributivity of an extended uninorm over an extended overlap function when the uninorm is continuous in ( 0 , 1 ) 2. It first studies the distributivity of the extended representable uninorms over ...

Similar to the construction of ordinal sums of overlap functions, Baczyński et al. introduced two new kinds of ordinal sums of fuzzy implications without additional restrictions on summands in 2017. In this paper, based on the ordinal ...

There are two cases of the (conditional) distributivity of semi-t-operators over S-uninorms that have not been discussed by Fang and Hu in 2019. This paper further characterizes the necessary condition for the left (resp. right) ...

The (conditional) distributivity plays an important role in the construction of integrals. In this work, we aim to characterize the conditional distributivity equation only involving uninorms, where the second uninorm belongs to the ...

In this paper, we study structures such as distributive lattices, distributive semilattices, and median graphs from an algorithmic point of view. Such structures are very useful in classification and phylogeny for representing lineage ...

In this paper we provide a full characterization of functions G : [ 0 , y ¯ ] 2 → [ 0 , y ¯ ] satisfying the distributivity equation G ( a ∘ b , a ∘ c ) = a ∘ G ( b , c ) for any a , b , c with a fixed binary operation ∘ : [ 0 , y ¯ ] ...

Chinese logician and philosopher Jin Yuelin published in 1935 a textbook Logic (in Chinese) in which he proposed proving the distributive laws by a slightly non-standard version of Venn diagrams. In Jin Yuelin’s modification some segments of the ...

One of the methods to construct a new fuzzy implication from given ones is to transform the given implications and appropriately scale the variables. In this paper, we firstly construct a N-vertical generated implication by changing ...

Distributivity of fuzzy implications over t-norms and t-conorms provides an effective way to solve the combinatorial rule explosion problems caused by addition of inputs in fuzzy inference systems, and hence has received considerable ...

This paper investigates the interpretation of measure phrases (MPs) in attributive constructions in Mandarin. Contra Schwarzschild [1], we argue that the attributive position is not bound to a non-monotonic reading for MPs, and that Mandarin ...

Recently, Baczyński, Drygaś, Król and Mesiar have proposed two constructions of ordinal sums of fuzzy implications based on the construction of ordinal sum of overlap functions. In this paper, we study the class of ordinal sum ...

The idea that wh-phrases can quantify over generalized quantifiers emerged following two main observations: (i) disjunctive answers to modalized questions lead to free choice inferences if the wh-phrases’s restrictor is plural and (ii) questions ...

The distributivity and conditional distributivity of a uninorm over a continuous t-conorm is an open problem posed by Klement in the Linz Seminar 2000 closing session. After this, the study of distributivity and conditional ...

We study non-homogeneity of quotients of Prikry and tree Prikry forcings with non-normal ultrafilters over some natural distributive forcing notions.

Various generalizations of triangular norms have been proposed, they are monotone binary operations satisfying commutativity or associativity or neutral property. Residual operations derived from these operations over complete lattices ...

The reduplicated kind classifier, zhǒngzhǒng, is related to a nominal plurality. Zhǒngzhǒng has to co-occur with abstract nouns only. This paper argues that without any kind-referring interpretation, zhǒngzhǒng groups entities into an ...