TY - JOUR
T1 - Pythagorean Cubic Normal Fuzzy Information Aggregation Operators and Their Application in Disability Evaluation
AU - Muneeza,
AU - Gul, Mariya
AU - Alzanin, Samah M.
AU - Gumaei, Abdu H.
N1 - Publisher Copyright:
© 2025 The Author(s).
PY - 2025/1/3
Y1 - 2025/1/3
N2 - Normal fuzzy sets and Pythagorean cubic fuzzy sets are the best means to deal with fuzziness. Combining both of these structures in our current work, we establish the idea of Pythagorean cubic normal fuzzy set. We define some basic operational laws for Pythagorean cubic normal fuzzy set and introduce a number of aggregation operators, including Pythagorean cubic normal fuzzy weighted averaging operator, Pythagorean cubic normal fuzzy weighted geometric operator, Pythagorean cubic normal fuzzy order weighted averaging operator and Pythagorean cubic normal fuzzy order weighted geometric operator. We examine several favorable properties, including monotonicity, boundedness, and idempotency for the proposed operators. We develop an algorithm for the solution of multicriteria decision-making problems. Moreover, we propose an extended form of the TODIM (Portuguese acronym for Interactive Multi-Criteria Decision Making) method. We present a multicriteria decision-making example related to assessing the educational needs of students with disabilities. The techniques and operators defined in the current work provide greater generality and accuracy and give precise results. Ultimately, a detailed illustration is provided to show the closure process of these specified procedures and functions, demonstrating their credibility and efficacy.
AB - Normal fuzzy sets and Pythagorean cubic fuzzy sets are the best means to deal with fuzziness. Combining both of these structures in our current work, we establish the idea of Pythagorean cubic normal fuzzy set. We define some basic operational laws for Pythagorean cubic normal fuzzy set and introduce a number of aggregation operators, including Pythagorean cubic normal fuzzy weighted averaging operator, Pythagorean cubic normal fuzzy weighted geometric operator, Pythagorean cubic normal fuzzy order weighted averaging operator and Pythagorean cubic normal fuzzy order weighted geometric operator. We examine several favorable properties, including monotonicity, boundedness, and idempotency for the proposed operators. We develop an algorithm for the solution of multicriteria decision-making problems. Moreover, we propose an extended form of the TODIM (Portuguese acronym for Interactive Multi-Criteria Decision Making) method. We present a multicriteria decision-making example related to assessing the educational needs of students with disabilities. The techniques and operators defined in the current work provide greater generality and accuracy and give precise results. Ultimately, a detailed illustration is provided to show the closure process of these specified procedures and functions, demonstrating their credibility and efficacy.
KW - aggregation operators
KW - Education
KW - multicriteria decision-making
KW - Pythagorean cubic normal fuzzy numbers
KW - TODIM method
UR - http://www.scopus.com/inward/record.url?scp=105005466537&partnerID=8YFLogxK
U2 - 10.57197/JDR-2024-0107
DO - 10.57197/JDR-2024-0107
M3 - Article
AN - SCOPUS:105005466537
SN - 2676-2633
VL - 4
JO - Journal of Disability Research
JF - Journal of Disability Research
IS - 1
M1 - e20240107
ER -