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


INFORMATION SCIENCES, vol.552, pp.118-141, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 552
  • Publication Date: 2021
  • Doi Number: 10.1016/j.ins.2020.11.016
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Communication Abstracts, Computer & Applied Sciences, INSPEC, Library, Information Science & Technology Abstracts (LISTA), Metadex, MLA - Modern Language Association Database, zbMATH, Civil Engineering Abstracts
  • 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
  • Karadeniz Technical University Affiliated: Yes


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.