Some picture fuzzy Bonferroni mean operators with their application to multicriteria decision making

ATEŞ F., AKAY D.

INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, vol.35, no.4, pp.625-649, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 4
  • Publication Date: 2020
  • Doi Number: 10.1002/int.22220
  • Journal Name: INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, PASCAL, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.625-649
  • Keywords: aggregation operators, Bonferroni mean, multicriteria decision making, picture fuzzy numbers, picture fuzzy sets, AGGREGATION OPERATORS, SELECTION, MODEL
  • Gazi University Affiliated: Yes

Abstract

In this paper, we extend the Bonferroni mean (BM) operator with the picture fuzzy numbers (PFNs) to propose novel picture fuzzy aggregation operators and demonstrate their application to multicriteria decision making (MCDM). On the basis of the algebraic operational rules of PFNs and BM, we introduce some aggregation operators: the picture fuzzy Bonferroni mean, the picture fuzzy normalized weighted Bonferroni mean, and the picture fuzzy ordered weighted Bonferroni mean. Then, a new picture fuzzy MCDM method is proposed with the help of the proposed operators. Lastly, a practical application of proposed model is given to verify the developed model and related results of the proposed model is compared with the results of the existing models to indicate its applicability.