{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,11]],"date-time":"2026-08-11T11:45:12Z","timestamp":1786448712833,"version":"3.56.0"},"reference-count":8,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["New Math. and Nat. Computation"],"published-print":{"date-parts":[[2026,3]]},"abstract":"<jats:p>To address the uncertainty and imprecision in a complex system, the concept of the linear Diophantine fuzzy set (LDFS) was introduced, which is a fuzzy set extension that eliminates the constraints of current methodologies and gives the decision-maker complete freedom to select the grades, producing results that are expressive and flexible. A circular intuitionistic fuzzy set (C-IFS) is depicted by a circle with the membership and non-membership values as its center coordinates, addressing the ambiguity regarding membership and non-membership values. In this paper, we propose the notion of a circular linear Diophantine fuzzy set (C-LDFS) as a hybrid structure of both circular intuitionistic fuzzy sets and linear Diophantine fuzzy sets. In addition, some fundamental set operations on C-LDFSs are presented. Furthermore, a similarity metric for C-LDFS is also introduced in the paper. Additionally, we confirm the axiomatic requirement of the similarity measure and highlight a few of its traits. Finally, the proposed similarity metric is implemented in clinical decision-making to illustrate its efficacy.<\/jats:p>","DOI":"10.1142\/s1793005726500171","type":"journal-article","created":{"date-parts":[[2024,8,30]],"date-time":"2024-08-30T04:09:43Z","timestamp":1724990983000},"page":"291-305","source":"Crossref","is-referenced-by-count":5,"title":["Circular Linear Diophantine Fuzzy Sets and Their Application in Medical Diagnosis"],"prefix":"10.1142","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0009-0002-2708-3830","authenticated-orcid":false,"given":"Theresa J.","family":"Puzhakkara","sequence":"first","affiliation":[{"name":"Department of Mathematics, St. Thomas College Palai, Arunapuram P.O. 686574, Kottayam, Kerala, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7448-8542","authenticated-orcid":false,"given":"Shiny","family":"Jose","sequence":"additional","affiliation":[{"name":"Department of Mathematics, St. Thomas College Palai, Arunapuram P.O. 686574, Kottayam, Kerala, India"},{"name":"Department of Mathematics, St. George\u2019s College Aruvithura, Aruvithura P.O. 686122, Kottayam, Kerala, India"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2024,10,28]]},"reference":[{"key":"S1793005726500171BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"issue":"5","key":"S1793005726500171BIB002","first-page":"5981","volume":"39","author":"Atanassov K. T.","year":"2020","journal-title":"Journal of Intelligent and Fuzzy Systems"},{"key":"S1793005726500171BIB003","doi-asserted-by":"publisher","DOI":"10.15388\/23-INFOR529"},{"issue":"4","key":"S1793005726500171BIB004","first-page":"5417","volume":"37","author":"Riaz M.","year":"2019","journal-title":"Journal of Intelligent and Fuzzy Systems"},{"key":"S1793005726500171BIB005","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2013.2278989"},{"key":"S1793005726500171BIB006","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2016.2604005"},{"key":"S1793005726500171BIB007","doi-asserted-by":"publisher","DOI":"10.47836\/mjms.17.3.08"},{"key":"S1793005726500171BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"}],"container-title":["New Mathematics and Natural Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793005726500171","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T09:12:21Z","timestamp":1762333941000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S1793005726500171"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,10,28]]},"references-count":8,"journal-issue":{"issue":"01","published-print":{"date-parts":[[2026,3]]}},"alternative-id":["10.1142\/S1793005726500171"],"URL":"https:\/\/doi.org\/10.1142\/s1793005726500171","relation":{},"ISSN":["1793-0057","1793-7027"],"issn-type":[{"value":"1793-0057","type":"print"},{"value":"1793-7027","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,10,28]]}}}