Characterizing Some Types of Uninorms on Bounded Lattices-Reference-Cited by-同舟云学术

Characterizing Some Types of Uninorms on Bounded Lattices

Published:2023-08 Issue:04 Volume:31 Page:533-549
ISSN:0218-4885
Container-title:International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
language:en
Short-container-title:Int. J. Unc. Fuzz. Knowl. Based Syst.

Author:

Wen Huayan¹,Wu Xinxing²,Çaylı Gül Deniz³

Affiliation:

1. MianYang City College, MianYang, Sichuan 621000, China

2. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou 550025, China

3. Department of Mathematics, Faculty of Science, Karadeniz Technical University, 61080 Trabzon, Turkey

Abstract

Uninorms, as important generalizations of triangular norms and conorms, let the identity [Formula: see text] exist anywhere on a bounded lattice. In this paper, we focus on new characterizations of uninorms allowed to act on more general bounded lattices. In particular, we present several necessary and sufficient conditions to verify the construction approaches introduced by (Çaylı and Karaçal, Kybernetika 53 (2017) 394–417) and (Çaylı, Fuzzy Sets Syst. 395 (2020) 107–129), yielding a uninorm on bounded lattices.

Funder

National Natural Science Foundation of China

Key Natural Science Foundation of Universities in Guang- dong Province

Science and Technology Innovation Team of Education Department of Sichuan for Dynamical System and its Applications

Youth Science and Technology Innovation Team of South-west Petroleum University for Nonlinear Systems

Publisher

World Scientific Pub Co Pte Ltd

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218488523500253

Reference31 articles.

1. New methods to construct uninorms on bounded lattices

2. On Generating of t-Norms and t-Conorms on Bounded Lattices

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