{"title":"基于广义 Dombi 聚合算子的 p,q-Quasirung 正对模糊多标准群体决策算法","authors":"Jawad Ali, Zahid Mehmood","doi":"10.1007/s12190-024-02227-9","DOIUrl":null,"url":null,"abstract":"<p>The p,q-quasirung orthopair fuzzy (p,q-ROF) sets offer a superior approach to describing fuzzy and uncertain information compared to q-rung orthopair fuzzy sets. This paper first introduces generalized Dombi operational laws for p,q-ROF numbers. Utilizing these laws, we develop the p,q-ROF generalized Dombi weighted average (p,q-ROFGDWA) operator, the p,q-ROF generalized Dombi weighted geometric (p,q-ROFGDWG) operator, and their ordered weighted forms. We thoroughly examine the desirable properties and special cases of these new aggregation operators. Subsequently, we devise a multiple-criteria group decision-making method based on the p,q-ROFGDWA and p,q-ROFGDWG operators. Also an example regarding the selection of infectious medical waste treatment technology in Lahore, Pakistan is provided to exemplify the practicality and effectiveness of the developed model. The obtained results are then compared with other relevant methods, highlighting the efficacy and authenticity of the propound approach. Additionally, sensitivity analysis is performed to verify the suggested method’s stability. The findings indicate that the framed approach delivers robust and credible results for determining the ideal healthcare waste treatment technology.</p>","PeriodicalId":15034,"journal":{"name":"Journal of Applied Mathematics and Computing","volume":"2016 1","pages":""},"PeriodicalIF":2.4000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"p,q-Quasirung orthopair fuzzy multi-criteria group decision-making algorithm based on generalized Dombi aggregation operators\",\"authors\":\"Jawad Ali, Zahid Mehmood\",\"doi\":\"10.1007/s12190-024-02227-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The p,q-quasirung orthopair fuzzy (p,q-ROF) sets offer a superior approach to describing fuzzy and uncertain information compared to q-rung orthopair fuzzy sets. This paper first introduces generalized Dombi operational laws for p,q-ROF numbers. Utilizing these laws, we develop the p,q-ROF generalized Dombi weighted average (p,q-ROFGDWA) operator, the p,q-ROF generalized Dombi weighted geometric (p,q-ROFGDWG) operator, and their ordered weighted forms. We thoroughly examine the desirable properties and special cases of these new aggregation operators. Subsequently, we devise a multiple-criteria group decision-making method based on the p,q-ROFGDWA and p,q-ROFGDWG operators. Also an example regarding the selection of infectious medical waste treatment technology in Lahore, Pakistan is provided to exemplify the practicality and effectiveness of the developed model. The obtained results are then compared with other relevant methods, highlighting the efficacy and authenticity of the propound approach. Additionally, sensitivity analysis is performed to verify the suggested method’s stability. The findings indicate that the framed approach delivers robust and credible results for determining the ideal healthcare waste treatment technology.</p>\",\"PeriodicalId\":15034,\"journal\":{\"name\":\"Journal of Applied Mathematics and Computing\",\"volume\":\"2016 1\",\"pages\":\"\"},\"PeriodicalIF\":2.4000,\"publicationDate\":\"2024-09-12\",\"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/s12190-024-02227-9\",\"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/s12190-024-02227-9","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
p,q-Quasirung orthopair fuzzy multi-criteria group decision-making algorithm based on generalized Dombi aggregation operators
The p,q-quasirung orthopair fuzzy (p,q-ROF) sets offer a superior approach to describing fuzzy and uncertain information compared to q-rung orthopair fuzzy sets. This paper first introduces generalized Dombi operational laws for p,q-ROF numbers. Utilizing these laws, we develop the p,q-ROF generalized Dombi weighted average (p,q-ROFGDWA) operator, the p,q-ROF generalized Dombi weighted geometric (p,q-ROFGDWG) operator, and their ordered weighted forms. We thoroughly examine the desirable properties and special cases of these new aggregation operators. Subsequently, we devise a multiple-criteria group decision-making method based on the p,q-ROFGDWA and p,q-ROFGDWG operators. Also an example regarding the selection of infectious medical waste treatment technology in Lahore, Pakistan is provided to exemplify the practicality and effectiveness of the developed model. The obtained results are then compared with other relevant methods, highlighting the efficacy and authenticity of the propound approach. Additionally, sensitivity analysis is performed to verify the suggested method’s stability. The findings indicate that the framed approach delivers robust and credible results for determining the ideal healthcare waste treatment technology.
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.