Construction of Uninorms on Bounded Lattices with Incomparable Elements that are Neither Conjunctive Nor Disjunctive

ÇAYLI G. D.

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, vol.30, no.6, pp.951-974, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 6
  • Publication Date: 2022
  • Doi Number: 10.1142/s0218488522500283
  • Journal Name: INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Computer & Applied Sciences, zbMATH
  • Page Numbers: pp.951-974
  • Keywords: Bounded lattice, Conjunctive uninorm, Disjunctive uninorm, Annihilator, Identity, Uninorm, TRIANGULAR NORMS, T-NORMS, AGGREGATION FUNCTIONS
  • Karadeniz Technical University Affiliated: Yes

Abstract

This paper investigates uninorms that are neither conjunctive nor disjunctive on bounded lattices. New methods are introduced for construction of such uninorms, where some restrictions on the identity and the annihilator are considered. In particular, new types of idempotent uninorms on bounded lattices are obtained. Furthermore, some specific examples are provided to illustrate that these constructions differ from the existing ones.