Some Aggregation Operators Under Generalized Trapezoidal Fuzzy Multi-Numbers and Their Application In Multi-Criteria Decision Making Problems

Davut Kesen; Mehmet Şahin; İrfan Deli

doi:10.54559/amesia.1901874

Some Aggregation Operators Under Generalized Trapezoidal Fuzzy Multi-Numbers and Their Application In Multi-Criteria Decision Making Problems

Abstract

In this study, we introduce a new concept-Generalized Trapezoidal Fuzzy Multi-Numbers (GTFM-numbers)-and new arithmetic-geometric aggregation operators within the framework of GTFM-numbers to address multi-criteria decision-making (MCDM) problems characterized by uncertainty and multiplicity. By extending classical fuzzy number and multiset concepts, GTFM-numbers provide a more expressive model for representing complex and imprecise evaluations. On the other hand, the proposed operators are mathematically analyzed and shown to satisfy properties such as idempotency, monotonicity and boundedness. In addition, some new score functions for GTFM-numbers are developed to enhance comparison and ranking of alternatives in the MCDM problems. The applicability of the proposed methods is demonstrated via an agricultural decision-making scenario which can be represented by GTFM-numbers. Moreover, a comparison study is conducted to compare the introduced operators and some existing operators introduced by various authors.

Keywords

Supporting Institution

This research is supported by the TUBITAK 2211-A scholarship program.

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Details

Primary Language

English

Subjects

Fuzzy Computation

Journal Section

Research Article

Authors

Davut Kesen ^*
0000-0002-2096-462X
Türkiye

Mehmet Şahin
0000-0002-1066-1641
Türkiye

İrfan Deli
0000-0003-1875-1067
Türkiye

Publication Date

June 30, 2026

Submission Date

March 3, 2026

Acceptance Date

June 3, 2026

Published in Issue

Year 2026 Volume: 7 Number: 1

DOI

https://doi.org/10.54559/amesia.1901874

IZ

https://izlik.org/JA49JC93DL

Cite

RIS / Bibtex

APA

Kesen, D., Şahin, M., & Deli, İ. (2026). Some Aggregation Operators Under Generalized Trapezoidal Fuzzy Multi-Numbers and Their Application In Multi-Criteria Decision Making Problems. Amesia, 7(1), 38-71. https://doi.org/10.54559/amesia.1901874

AMA

1.Kesen D, Şahin M, Deli İ. Some Aggregation Operators Under Generalized Trapezoidal Fuzzy Multi-Numbers and Their Application In Multi-Criteria Decision Making Problems. Amesia. 2026;7(1):38-71. doi:10.54559/amesia.1901874

Chicago

Kesen, Davut, Mehmet Şahin, and İrfan Deli. 2026. “Some Aggregation Operators Under Generalized Trapezoidal Fuzzy Multi-Numbers and Their Application In Multi-Criteria Decision Making Problems”. Amesia 7 (1): 38-71. https://doi.org/10.54559/amesia.1901874.

EndNote

Kesen D, Şahin M, Deli İ (June 1, 2026) Some Aggregation Operators Under Generalized Trapezoidal Fuzzy Multi-Numbers and Their Application In Multi-Criteria Decision Making Problems. Amesia 7 1 38–71.

IEEE

[1]D. Kesen, M. Şahin, and İ. Deli, “Some Aggregation Operators Under Generalized Trapezoidal Fuzzy Multi-Numbers and Their Application In Multi-Criteria Decision Making Problems”, Amesia, vol. 7, no. 1, pp. 38–71, June 2026, doi: 10.54559/amesia.1901874.

ISNAD

Kesen, Davut - Şahin, Mehmet - Deli, İrfan. “Some Aggregation Operators Under Generalized Trapezoidal Fuzzy Multi-Numbers and Their Application In Multi-Criteria Decision Making Problems”. Amesia 7/1 (June 1, 2026): 38-71. https://doi.org/10.54559/amesia.1901874.

JAMA

1.Kesen D, Şahin M, Deli İ. Some Aggregation Operators Under Generalized Trapezoidal Fuzzy Multi-Numbers and Their Application In Multi-Criteria Decision Making Problems. Amesia. 2026;7:38–71.

MLA

Kesen, Davut, et al. “Some Aggregation Operators Under Generalized Trapezoidal Fuzzy Multi-Numbers and Their Application In Multi-Criteria Decision Making Problems”. Amesia, vol. 7, no. 1, June 2026, pp. 38-71, doi:10.54559/amesia.1901874.

Vancouver

1.Davut Kesen, Mehmet Şahin, İrfan Deli. Some Aggregation Operators Under Generalized Trapezoidal Fuzzy Multi-Numbers and Their Application In Multi-Criteria Decision Making Problems. Amesia. 2026 Jun. 1;7(1):38-71. doi:10.54559/amesia.1901874

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