Construction of nullnorms on some special classes of bounded lattices

ÇAYLI G. D.

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, cilt.134, ss.111-128, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 134
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1016/j.ijar.2021.04.005
  • Dergi Adı: INTERNATIONAL JOURNAL OF APPROXIMATE REASONING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Compendex, INSPEC, Linguistics & Language Behavior Abstracts, zbMATH, DIALNET
  • Sayfa Sayıları: ss.111-128
  • Anahtar Kelimeler: Bounded lattice, Nullnorm, Closure operator, Interior operator, T-norm, T-conorm, T-NORMS, TRIANGULAR NORMS, ORDINAL SUMS, UNINORMS, DISTRIBUTIVITY, OPERATORS, EQUATIONS, CONORMS
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

This paper continues to study the construction of nullnorms on bounded lattices. We first propose two new construction methods of nullnorms derived from an arbitrary t norm (resp. an arbitrary t-conorm) using a closure operator (resp. an interior operator) on bounded lattices, where some sufficient and necessary conditions are considered. Then, we introduce two other methods to obtain nullnorms based on a closure operator (an interior operator) on bounded lattices with some constraints. In particular, we obtain some new classes of idempotent nullnorms on bounded lattices. Moreover, we provide some examples for a better understanding of new classes of nullnorms on bounded lattices. (C) 2021 Elsevier Inc. All rights reserved.