{"title":"Some Properties of q-Rung Orthopair Fuzzy Derivatives and Indefinite Integrals","authors":"Junle Zhuo","doi":"10.22457/jmi.139av16a5","DOIUrl":null,"url":null,"abstract":"Abstract. In this paper, we first present the chain rule and the form invariance of differential for q-rung orthopair fuzzy functions (q-ROFFs). In addi tion, we obtain the general formula of indefinite integrals of q-ROFFs by ordinary differential equations. Next, we give the substitution rule of indefinite i ntegrals for q-ROFFs. Meanwhile, we give some examples to verify above-mentioned formul a, such as the chain rule and the substitution rule.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"70 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2019-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mathematics Statistics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22457/jmi.139av16a5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 1
Abstract
Abstract. In this paper, we first present the chain rule and the form invariance of differential for q-rung orthopair fuzzy functions (q-ROFFs). In addi tion, we obtain the general formula of indefinite integrals of q-ROFFs by ordinary differential equations. Next, we give the substitution rule of indefinite i ntegrals for q-ROFFs. Meanwhile, we give some examples to verify above-mentioned formul a, such as the chain rule and the substitution rule.
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