Some results about nullnorms on bounded lattices

被引：18

作者：

Cayli, Gul Deniz ^{[1
]}

机构：

[1] Karadeniz Tech Univ, Fac Sci, Dept Math, TR-61080 Trabzon, Turkey

来源：

FUZZY SETS AND SYSTEMS | 2020年 / 386卷

关键词：

Bounded lattice; Idempotent nullnorm; Nullnorm; t-norm; t-conorm; Zero element; IDEMPOTENT NULLNORMS; T-OPERATORS; UNINORMS; DISTRIBUTIVITY; EQUATIONS; ORDER;

D O I：

10.1016/j.fss.2019.03.010

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Nullnorms as a generalization of the concepts of t-norms and t-conorms admit a zero element to be any element in a bounded lattice. In this paper, we discuss the characterization of idempotent nullnorms on bounded lattices and investigate some of the main properties of them. We propose some new methods yielding nullnorms, in particular idempotent nullnorms, on bounded lattices with the fixed zero element under some additional constraints. Moreover, some illustrative examples are presented to demonstrate the feasibility of the proposed methods. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：105 / 131

页数：27

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