A defuzzification method on single-valued trapezoidal neutrosophic numbers and multiple attribute decision making

İrfan Deli; Emel Kırmızı Öztürk

doi:10.17776/csj.574518

EN

A defuzzification method on single-valued trapezoidal neutrosophic numbers and multiple attribute decision making

Abstract

In this paper, we give multiple attribute decision-making (MADM) method where both the attribute value and attribute weight of alternatives are single-valued trapezoidal neutrosophic numbers (SVTN-numbers). In spite of existing ranking methods, no one can rank SVTN-numbers with human intuition consistently in all cases. Therefore, we introduce a novel defuzzification method for ranking SVTN-numbers. To do this, some basic definitions and operations on the concepts of fuzzy set, fuzzy number, intuitionistic fuzzy set, intuitionistic fuzzy number, single-valued neutrosophic set, SVTN-number are presented. Then, concepts of I. score function and II. score function to reduce the SVTN-numbers to fuzzy numbers are defined. Finally, multiple criteria decision-making (MCDM) method for multiple criteria decision-making problems by using the concept of I. score function and II. score function of SVTN-numbers and defuzzification of fuzzy numbers are developed. Also, we have used a numerical example to verify the feasibility and the superiority of the proposed method compared to the existing methods.

Keywords

Neutrosophic set,single valued trapezoidal neutrosophic number,score function,defuzzification,multiple attribute decision-making.

References

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Details

Primary Language

Turkish

Subjects

-

Journal Section

Research Article

Authors

İrfan Deli ^*
0000-0003-1875-1067
Central African Republic

Emel Kırmızı Öztürk This is me
0000-0003-1875-1067
Türkiye

Publication Date

March 22, 2020

Submission Date

June 10, 2019

Acceptance Date

January 31, 2020

Published in Issue

Year 2020 Volume: 41 Number: 1

DOI

https://doi.org/10.17776/csj.574518

IZ

https://izlik.org/JA46GC42YJ

APA

Deli, İ., & Kırmızı Öztürk, E. (2020). A defuzzification method on single-valued trapezoidal neutrosophic numbers and multiple attribute decision making. Cumhuriyet Science Journal, 41(1), 22-37. https://doi.org/10.17776/csj.574518

AMA

1.Deli İ, Kırmızı Öztürk E. A defuzzification method on single-valued trapezoidal neutrosophic numbers and multiple attribute decision making. CSJ. 2020;41(1):22-37. doi:10.17776/csj.574518

Chicago

Deli, İrfan, and Emel Kırmızı Öztürk. 2020. “A Defuzzification Method on Single-Valued Trapezoidal Neutrosophic Numbers and Multiple Attribute Decision Making”. Cumhuriyet Science Journal 41 (1): 22-37. https://doi.org/10.17776/csj.574518.

EndNote

Deli İ, Kırmızı Öztürk E (March 1, 2020) A defuzzification method on single-valued trapezoidal neutrosophic numbers and multiple attribute decision making. Cumhuriyet Science Journal 41 1 22–37.

IEEE

[1]İ. Deli and E. Kırmızı Öztürk, “A defuzzification method on single-valued trapezoidal neutrosophic numbers and multiple attribute decision making”, CSJ, vol. 41, no. 1, pp. 22–37, Mar. 2020, doi: 10.17776/csj.574518.

ISNAD

Deli, İrfan - Kırmızı Öztürk, Emel. “A Defuzzification Method on Single-Valued Trapezoidal Neutrosophic Numbers and Multiple Attribute Decision Making”. Cumhuriyet Science Journal 41/1 (March 1, 2020): 22-37. https://doi.org/10.17776/csj.574518.

JAMA

1.Deli İ, Kırmızı Öztürk E. A defuzzification method on single-valued trapezoidal neutrosophic numbers and multiple attribute decision making. CSJ. 2020;41:22–37.

MLA

Deli, İrfan, and Emel Kırmızı Öztürk. “A Defuzzification Method on Single-Valued Trapezoidal Neutrosophic Numbers and Multiple Attribute Decision Making”. Cumhuriyet Science Journal, vol. 41, no. 1, Mar. 2020, pp. 22-37, doi:10.17776/csj.574518.

Vancouver

1.İrfan Deli, Emel Kırmızı Öztürk. A defuzzification method on single-valued trapezoidal neutrosophic numbers and multiple attribute decision making. CSJ. 2020 Mar. 1;41(1):22-37. doi:10.17776/csj.574518