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Mokslo publikacijos
2019-02-13

Normalized Weighted Bonferroni Harmonic Mean-Based Intuitionistic Fuzzy Operators and Their Application to the Sustainable Selection of Search and Rescue Robots

Abstract

In this paper, Normalized Weighted Bonferroni Mean (NWBM) and Normalized Weighted Bonferroni Harmonic Mean (NWBHM) aggregation operators are proposed. Besides, we check the properties thereof, which include idempotency, monotonicity, commutativity, and boundedness. As the intuitionistic fuzzy numbers are used as a basis for the decision making to effectively handle the real-life uncertainty, we extend the NWBM and NWBHM operators into the
intuitionistic fuzzy environment. By further modifying the NWBHM, we propose additional aggregation operators, namely the Intuitionistic Fuzzy Normalized Weighted Bonferroni Harmonic Mean (IFNWBHM) and the Intuitionistic Fuzzy Ordered Normalized Weighted Bonferroni Harmonic Mean (IFNONWBHM). The paper winds up with an empirical example of multi-attribute group decision making (MAGDM) based on triangular intuitionistic fuzzy numbers. To serve this end, we apply the IFNWBHM aggregation operator.

 

Keywords: Bonferroni harmonic mean; aggregation operator; intuitionistic fuzzy set; multiple attribute group decision making; search and rescue robots.

 

https://doi.org/10.3390/sym11020218

 

Zhou, J.; Baležentis, T.; Streimikiene, D. 2019. Normalized Weighted Bonferroni Harmonic Mean-Based Intuitionistic Fuzzy Operators and Their Application to the Sustainable Selection of Search and Rescue Robots. In Symmetry. Vol. 11, Issue 2, 218, EISSN 2073-8994, doi:10.3390/sym11020218; [Chemical Abstracts (ACS); Current Contents - Physical, Chemical & Earth Sciences (Clarivate Analytics); dblp Computer Science Bibliography (Universität Trier); DOAJ - Directory of Open Access Journals; Genamics JournalSeek; HINARI (WHO); Inspec (IET); io-port (FIZ Karlsruhe); Journal Citation Reports / Science Edition (Clarivate Analytics); Julkaisufoorumi Publication Forum (Federation of Finnish Learned Societies); Science Citation Index Expanded - Web of Science (Clarivate Analytics); Scopus (Elsevier); Web of Science (Clarivate Analytics); zbMATH (FIZ Karlsruhe].

 




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