Hesitant T-spherical Fuzzy Hamacher Aggregation Operators and Their Applications in Multiple Criteria Group Decision Making

Edalatzadeh, Behrouz; H. Sultan Al-Husseinawi, Abdulrasool; Karaaslan, Faruk; Shaveisi, Farzad; Dawood Dawood, Mohammed

doi:10.22080/cjms.2026.30866.1795

Hesitant T-spherical Fuzzy Hamacher Aggregation Operators and Their Applications in Multiple Criteria Group Decision Making

Document Type : Research Articles

Authors

¹ Department of Mathematics, Faculty of Science, Razi University, Kermanshah, Iran

² Department of Mathematics, Faculty of Sciences, Cankiri Karatekin University, 18100, Cankiri, Turkey

³ Directorate of Anbar education, Iraq

10.22080/cjms.2026.30866.1795

Abstract

Building upon the foundation of Hesitant Fuzzy (HF) sets and T-Spherical Fuzzy (T-SFS) sets, this paper introduces the Hesitant T-Spherical Fuzzy (HT-SFS) set and presents its fundamental set-theoretical and Hamacher operations.
To provide a flexible and general framework for aggregating HT-SF information, this paper leverages the generalized Hamacher t-norm and t-conorm, which subsume several other operational laws as special cases. We introduce a family of novel aggregation operators based on these Hamacher operations, including the hesitant T-spherical fuzzy Hamacher weighted arithmetic averaging (HTSFHWAA) operator, hesitant T-spherical fuzzy Hamacher weighted geometric averaging (HTSFHWGA) operator, hesitant T-spherical fuzzy Hamacher ordered weighted arithmetic averaging (HTSFHOWAA) operator, and hesitant T-spherical fuzzy Hamacher ordered weighted geometric averaging (HTSFHOWGA) operator. The fundamental properties of these operators are investigated. Additionally, we provide a multi-criteria group decision-making (MCGDM) method and algorithm of the suggested method under the hesitant T-spherical fuzzy environment. To demonstrate the proposed method, we present an example related to filling a project manager position in child protection at an international organization.

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