{"title":"使用复杂 q-rung 正对模糊交互聚合算子的多属性决策问题","authors":"Ziad Khan, Ikhtesham Ullah, Fawad Hussain, Tariq Rahim, Rashid Jan, Madad Khan","doi":"10.1007/s12190-024-02170-9","DOIUrl":null,"url":null,"abstract":"<p>The complex <i>q</i>-rung orthopair fuzzy sets are an important way to express uncertain and ambiguous information, and they are superior to the complex fuzzy sets, complex intuitionistic fuzzy sets, complex pythagorean fuzzy sets, and complex fermatean fuzzy sets. This paper extend the notion of <i>q</i>-rung orthopair fuzzy sets to complex <i>q</i>-rung orthopair fuzzy sets. Interaction aggregation operators are often used in various fields to solve multi-attribute decision-making Problems. By utilizing arithmetic and geometric operators, some well-known complex <i>q</i>-rung orthopair fuzzy interaction aggregation operators such as complex <i>q</i>-rung orthopair fuzzy interaction weighted average operator, complex <i>q</i>-rung orthopair fuzzy interaction weighted geometric operator, complex <i>q</i>-rung orthopair fuzzy interaction order weighted operator, complex <i>q</i>-rung orthopair fuzzy interaction order weighted geometric operator, complex <i>q</i>-rung orthopair fuzzy interaction hybrid operator, and complex <i>q</i>-rung orthopair fuzzy interaction hybrid geometric operator have been developed. In addition, some of the unique properties of these newly established operators are investigated. Finally, we explore a decision-making approach to solve multi-attribute decision-making Problem. The viability and flexibility of the suggested technique is explored with the help of a numerical example and the proposed results are compared with several existing approaches.</p>","PeriodicalId":15034,"journal":{"name":"Journal of Applied Mathematics and Computing","volume":"9 1","pages":""},"PeriodicalIF":2.4000,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Multi-attribute decision-making problem using complex q-rung orthopair fuzzy interaction aggregation operators\",\"authors\":\"Ziad Khan, Ikhtesham Ullah, Fawad Hussain, Tariq Rahim, Rashid Jan, Madad Khan\",\"doi\":\"10.1007/s12190-024-02170-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The complex <i>q</i>-rung orthopair fuzzy sets are an important way to express uncertain and ambiguous information, and they are superior to the complex fuzzy sets, complex intuitionistic fuzzy sets, complex pythagorean fuzzy sets, and complex fermatean fuzzy sets. This paper extend the notion of <i>q</i>-rung orthopair fuzzy sets to complex <i>q</i>-rung orthopair fuzzy sets. Interaction aggregation operators are often used in various fields to solve multi-attribute decision-making Problems. By utilizing arithmetic and geometric operators, some well-known complex <i>q</i>-rung orthopair fuzzy interaction aggregation operators such as complex <i>q</i>-rung orthopair fuzzy interaction weighted average operator, complex <i>q</i>-rung orthopair fuzzy interaction weighted geometric operator, complex <i>q</i>-rung orthopair fuzzy interaction order weighted operator, complex <i>q</i>-rung orthopair fuzzy interaction order weighted geometric operator, complex <i>q</i>-rung orthopair fuzzy interaction hybrid operator, and complex <i>q</i>-rung orthopair fuzzy interaction hybrid geometric operator have been developed. In addition, some of the unique properties of these newly established operators are investigated. Finally, we explore a decision-making approach to solve multi-attribute decision-making Problem. The viability and flexibility of the suggested technique is explored with the help of a numerical example and the proposed results are compared with several existing approaches.</p>\",\"PeriodicalId\":15034,\"journal\":{\"name\":\"Journal of Applied Mathematics and Computing\",\"volume\":\"9 1\",\"pages\":\"\"},\"PeriodicalIF\":2.4000,\"publicationDate\":\"2024-07-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied Mathematics and Computing\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s12190-024-02170-9\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mathematics and Computing","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s12190-024-02170-9","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Multi-attribute decision-making problem using complex q-rung orthopair fuzzy interaction aggregation operators
The complex q-rung orthopair fuzzy sets are an important way to express uncertain and ambiguous information, and they are superior to the complex fuzzy sets, complex intuitionistic fuzzy sets, complex pythagorean fuzzy sets, and complex fermatean fuzzy sets. This paper extend the notion of q-rung orthopair fuzzy sets to complex q-rung orthopair fuzzy sets. Interaction aggregation operators are often used in various fields to solve multi-attribute decision-making Problems. By utilizing arithmetic and geometric operators, some well-known complex q-rung orthopair fuzzy interaction aggregation operators such as complex q-rung orthopair fuzzy interaction weighted average operator, complex q-rung orthopair fuzzy interaction weighted geometric operator, complex q-rung orthopair fuzzy interaction order weighted operator, complex q-rung orthopair fuzzy interaction order weighted geometric operator, complex q-rung orthopair fuzzy interaction hybrid operator, and complex q-rung orthopair fuzzy interaction hybrid geometric operator have been developed. In addition, some of the unique properties of these newly established operators are investigated. Finally, we explore a decision-making approach to solve multi-attribute decision-making Problem. The viability and flexibility of the suggested technique is explored with the help of a numerical example and the proposed results are compared with several existing approaches.
期刊介绍:
JAMC is a broad based journal covering all branches of computational or applied mathematics with special encouragement to researchers in theoretical computer science and mathematical computing. Major areas, such as numerical analysis, discrete optimization, linear and nonlinear programming, theory of computation, control theory, theory of algorithms, computational logic, applied combinatorics, coding theory, cryptograhics, fuzzy theory with applications, differential equations with applications are all included. A large variety of scientific problems also necessarily involve Algebra, Analysis, Geometry, Probability and Statistics and so on. The journal welcomes research papers in all branches of mathematics which have some bearing on the application to scientific problems, including papers in the areas of Actuarial Science, Mathematical Biology, Mathematical Economics and Finance.