Generating nullnorms on some special classes of bounded lattices via closure and interior operators


INFORMATION SCIENCES, vol.552, pp.118-141, 2021 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 552
  • Publication Date: 2021
  • Doi Number: 10.1016/j.ins.2020.11.016
  • Title of Journal : INFORMATION SCIENCES
  • Page Numbers: pp.118-141
  • Keywords: Bounded lattice, Closure operator, Interior operator, Nullnorm, T-norm, T-conorm, T-NORMS, CONSTRUCTION METHODS, TRIANGULAR NORMS, ORDINAL SUMS, UNINORMS, DISTRIBUTIVITY, CONORMS


In this article, we introduce different methods for constructing nullnorms on some special classes of bounded lattices by using closure and interior operators. As a by-product, we obtain new classes of idempotent nullnorms. Furthermore, we give some interesting examples for a better understanding of these new classes of nullnorms. In particular, the results presented here provide different approaches to the suggestion put forward by Ouyang and Zhang in (2020). (C) 2020 Elsevier Inc. All rights reserved.