Some results about nullnorms on bounded lattices

ÇAYLI G. D.

FUZZY SETS AND SYSTEMS, cilt.386, ss.105-131, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 386
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1016/j.fss.2019.03.010
  • Dergi Adı: FUZZY SETS AND SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, zbMATH
  • Sayfa Sayıları: ss.105-131
  • Anahtar Kelimeler: Bounded lattice, Idempotent nullnorm, Nullnorm, t-norm, t-conorm, Zero element, IDEMPOTENT NULLNORMS, T-OPERATORS, UNINORMS, DISTRIBUTIVITY, EQUATIONS, ORDER
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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.