Abstract
Dual hesitant fuzzy geometric Bonferroni mean is defined for dual hesitant fuzzy sets. Different properties of dual hesitant fuzzy geometric Bonferroni mean are discussed. Some special cases are studied in detail for dual hesitant fuzzy geometric Bonferroni mean. In addition, dual hesitant fuzzy weighted geometric Bonferroni mean and dual hesitant fuzzy Choquet geometric Bonferroni mean are proposed. A multicriteria decision-making method is discussed to find the best alternative among different alternatives by using proposed aggregated operators and an illustrated example is also given to understand our proposal.
Highlights
Fuzzy sets (FS) initiated by Zadeh [1] are great invention in the field of sciences
Dual hesitant fuzzy sets (DHFS) have ability to deal with the circumstances when the assessment of an alternative under each condition is corresponded to several possible values for membership and nonmembership for the same element [15]
In order to consider the connections among criteria in multicriteria decision-making problems, we developed a dual hesitant fuzzy weighted geometric Bonferroni mean (DHFWGBM)
Summary
Fuzzy sets (FS) initiated by Zadeh [1] are great invention in the field of sciences. The idea of fuzzy sets received great intension for handling uncertainty and vagueness situations. Dual hesitant fuzzy sets (DHFS) have ability to deal with the circumstances when the assessment of an alternative under each condition is corresponded to several possible values for membership and nonmembership for the same element [15]. In existing literature there is very fewer work existing on Mathematical Problems in Engineering aggregation operator for DHFS; no work exists when arguments interrelated with each other This inadequacy motivated us to develop some aggregative operators for DHFS based on geometric Bonferroni mean and Choquet integral. Choquet integral with geometric Bonferroni mean is used to introduce aggregation operators for DHFS called dual hesitant fuzzy Choquet geometric Bonferroni mean (DHFCBGM).
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