{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,31]],"date-time":"2026-07-31T14:47:33Z","timestamp":1785509253652,"version":"3.56.0"},"reference-count":45,"publisher":"Vilnius University Press","issue":"4","license":[{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023]]},"abstract":"<jats:p>In this paper, we introduce the concept of circular Pythagorean fuzzy set (value) (C-PFS(V)) as a new generalization of both circular intuitionistic fuzzy sets (C-IFSs) proposed by Atannassov and Pythagorean fuzzy sets (PFSs) proposed by Yager. A circular Pythagorean fuzzy set is represented by a circle that represents the membership degree and the non-membership degree and whose centre consists of non-negative real numbers \u03bc and \u03bd with the condition ${\\mu ^{2}}+{\\nu ^{2}}\\leqslant 1$. A C-PFS models the fuzziness of the uncertain information more properly thanks to its structure that allows modelling the information with points of a circle of a certain centre and a radius. Therefore, a C-PFS lets decision makers to evaluate objects in a larger and more flexible region and thus more sensitive decisions can be made. After defining the concept of C-PFS we define some fundamental set operations between C-PFSs and propose some algebraic operations between C-PFVs via general triangular norms and triangular conorms. By utilizing these algebraic operations, we introduce some weighted aggregation operators to transform input values represented by C-PFVs to a single output value. Then to determine the degree of similarity between C-PFVs we define a cosine similarity measure based on radius. Furthermore, we develop a method to transform a collection of Pythagorean fuzzy values to a C-PFS. Finally, a method is given to solve multi-criteria decision making problems in circular Pythagorean fuzzy environment and the proposed method is practiced to a problem about selecting the best photovoltaic cell from the literature. We also study the comparison analysis and time complexity of the proposed method.<\/jats:p>","DOI":"10.15388\/23-infor529","type":"journal-article","created":{"date-parts":[[2023,9,18]],"date-time":"2023-09-18T18:09:41Z","timestamp":1695060581000},"page":"713-742","source":"Crossref","is-referenced-by-count":69,"title":["Circular Pythagorean Fuzzy Sets and Applications to Multi-Criteria Decision Making"],"prefix":"10.15388","volume":"34","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3676-0901","authenticated-orcid":false,"given":"Mahmut Can","family":"Bozyigit","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8660-5435","authenticated-orcid":false,"given":"Murat","family":"Olgun","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0857-1006","authenticated-orcid":false,"given":"Mehmet","family":"\u00dcnver","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"6097","published-online":{"date-parts":[[2023,9,18]]},"reference":[{"key":"2024011516325606626_j_infor529_ref_001","first-page":"1121","article-title":"Four distances for circular intuitionistic fuzzy sets","volume":"9(10)","year":"2021","journal-title":"Mathematics"},{"key":"2024011516325606626_j_infor529_ref_002","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","article-title":"Intuitionistic fuzzy sets","volume":"20","year":"1986","journal-title":"Fuzzy Sets and Systems"},{"key":"2024011516325606626_j_infor529_ref_003","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-7908-1870-3_1","volume-title":"Intuitionistic Fuzzy Sets. 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