Xinxing Wu

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20162020

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5 papers · 1 filter

math.GM2020

Characterizing idempotent nullnorms on bounded lattices

Xinxing Wu, Shudi Liang, Gül Deniz Çaylı

Nullnorms with a zero element being at any point of a bounded lattice are an important generalization of triangular norms and triangular conorms. This paper obtains an equivalent c…

math.GM2020

On lattice-ordered $t_{r}$ -norms for type-2 fuzzy sets

Xinxing Wu, Guanrong Chen

In this paper, it is proved that, for the truth value algebra of interval-valued fuzzy sets, the distributive laws do not imply the monotonicity condition for the set inclusion ope…

math.GM2020

Characterizing uninorms on bounded lattices

Xinxing Wu, Guanrong Chen

This paper establishes some equivalent conditions of a uninorm, extending an arbitrary triangular norm on [0, e] or an arbitrary triangular conorm on [e, 1] to the whole lattice.

math.GM2019

Answering An Open Problem on $T$ -Norms for Type-2 Fuzzy Sets

Xinxing Wu, Guanrong Chen

This paper proves that a binary operation $⋆$ on $[0, 1]$ , ensuring that the binary operation $⋏$ is a $t$ -norm or $⋎$ is a $t$ -conorm, is a $t$ …

math.GM2019

On the Existence of $t_{r}$ -Norm and $t_{r}$ -Conorm not in Convolution Form

Xinxing Wu, Guanrong Chen

This paper constructs a $t_{r}$ -norm and a $t_{r}$ -conorm on the set of all normal and convex functions from $[0, 1]$ to $[0, 1]$ , which are not obtained by using the following…

Characterizing idempotent nullnorms on bounded lattices

On lattice-ordered tr​-norms for type-2 fuzzy sets

Characterizing uninorms on bounded lattices

Answering An Open Problem on T-Norms for Type-2 Fuzzy Sets

On the Existence of tr​-Norm and tr​-Conorm not in Convolution Form

On lattice-ordered $t_{r}$ -norms for type-2 fuzzy sets

Answering An Open Problem on $T$ -Norms for Type-2 Fuzzy Sets

On the Existence of $t_{r}$ -Norm and $t_{r}$ -Conorm not in Convolution Form