Trapezoidal Fuzzy Multi-Number Preference Relations based on Architecture Multi-Criteria Decision-Making Application

Document Type : Research Paper

Authors

1 TBMM Public relations building 2nd Floor, B206 room Ministries, Ankara06543-Turkey

2 Department of Mathematics, Kilis 7 Aralik University, 79000 Kilis, Turkey

3 Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran.

Abstract

The present study aims to described the concept of trapezoidal fuzzy multi number aggregation operators and also provide its application in architecture. Our main focus is on the trapezoidal fuzzy
multi number weighted arithmetic average (TFMNWAA) operator, the trapezoidal fuzzy multi number
weighted geometric average (TFMNWGA) operator and trapezoidal fuzzy multi-number hybrid aggregation (TFMNHA) operator along with their developable properties. Then the notion of the score function of ranking the trapezoidal fuzzy multi numbers is defined. We apply the TFMNHA operator to multi criteria decision making trapezoidal fuzzy multi number. Finally, a comparative analysis is presented with a numerical example is provided to show its applicability and usefulness.

Keywords

Main Subjects

References

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Iranian Journal of Fuzzy Systems
Volume 21, Issue 2
March and April 2024
Pages 51-65

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