{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T07:04:57Z","timestamp":1777705497736,"version":"3.51.4"},"reference-count":27,"publisher":"SAGE Publications","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2021,12,31]]},"abstract":"<jats:p>Capital budgeting requires dealing with high uncertainty from the unknown characteristics of cash flow, interest rate, and study period forecasts for future periods. Many fuzzy extensions of capital budgeting techniques have been proposed and used in a wide range of applications to deal with uncertainty. In this paper, a new fuzzy extension of the most used capital budgeting techniques is proposed. In this content, first interval-valued Fermatean fuzzy sets (IVFFSs) are defined, and the algebraic and aggregation operations are determined for interval-valued Fermatean fuzzy (IVFF) numbers. The formulations of IVFF net present value, IVFF equivalent uniform annual value, and IVFF benefit-cost ratio (B\/C) methods are generated. To validate the proposed methods, proposed formulations are illustrated with a hypothetical example, and the results are compared with classical fuzzy capital budgeting techniques.<\/jats:p>","DOI":"10.3233\/jifs-219196","type":"journal-article","created":{"date-parts":[[2021,7,20]],"date-time":"2021-07-20T12:54:38Z","timestamp":1626785678000},"page":"365-376","source":"Crossref","is-referenced-by-count":40,"title":["Extension of capital budgeting techniques using interval-valued Fermatean fuzzy sets"],"prefix":"10.1177","volume":"42","author":[{"given":"Duygu","family":"Sergi","sequence":"first","affiliation":[{"name":"Industrial Engineering Department, MEF University, Ayazaga, Istanbul, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Irem Ucal","family":"Sari","sequence":"additional","affiliation":[{"name":"Industrial Engineering Department, Istanbul Technical University, Macka, Istanbul, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tapan","family":"Senapati","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Southwest University, Beibei, Chongqing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","reference":[{"issue":"3","key":"10.3233\/JIFS-219196_ref1","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","article-title":"Fuzzy sets","volume":"8","author":"Zadeh","year":"1965","journal-title":"Information and Control"},{"issue":"11","key":"10.3233\/JIFS-219196_ref2","doi-asserted-by":"crossref","first-page":"2835","DOI":"10.1002\/int.22167","article-title":"Weighted power means of q-rung orthopair fuzzy information and their applications in multiattribute decision-making","volume":"34","author":"Du","year":"2019","journal-title":"International Journal of Intelligent Systems"},{"issue":"3","key":"10.3233\/JIFS-219196_ref3","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1016\/0165-0114(87)90128-X","article-title":"The fuzzy mathematics of finance","volume":"21","author":"Buckley","year":"1987","journal-title":"Fuzzy Sets and Systems"},{"issue":"2","key":"10.3233\/JIFS-219196_ref4","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1080\/00137919408903117","article-title":"Fuzzy cash flow analysis using present worth criterion","volume":"39","author":"Chiu","year":"1994","journal-title":"The Engineering Economist"},{"issue":"3","key":"10.3233\/JIFS-219196_ref5","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1016\/S0165-0114(98)00088-8","article-title":"Fuzzy capital budgeting","volume":"111","author":"Kuchta","year":"2000","journal-title":"Fuzzy Sets and Systems"},{"issue":"5-6","key":"10.3233\/JIFS-219196_ref7","doi-asserted-by":"crossref","first-page":"741","DOI":"10.1016\/j.camwa.2004.10.035","article-title":"Fuzzy evaluation of cogeneration alternatives in a petrochemical industry","volume":"49","author":"Sheen","year":"2005","journal-title":"Computers & Mathematics with Applications"},{"issue":"1","key":"10.3233\/JIFS-219196_ref8","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1080\/00137910500524828","article-title":"Fuzzy decision analysis for alternative selection using a fuzzy annual worth criterion","volume":"51","author":"Liou","year":"2006","journal-title":"The Engineering Economist"},{"issue":"1","key":"10.3233\/JIFS-219196_ref9","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1080\/00137910701854594","article-title":"A comparison of fuzzy set and probabilistic paradigms for ranking vague economic investment information using a present worth criterion","volume":"53","author":"Sorenson","year":"2008","journal-title":"The Engineering Economist"},{"issue":"2","key":"10.3233\/JIFS-219196_ref10","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1080\/00137910701328912","article-title":"Fuzzy present value analysis model for evaluating information system projects","volume":"52","author":"Omitaomu","year":"2007","journal-title":"The Engineering Economist"},{"issue":"8","key":"10.3233\/JIFS-219196_ref11","doi-asserted-by":"crossref","first-page":"1885","DOI":"10.1016\/j.cor.2011.07.015","article-title":"Fuzzy net present values for capital investments in an uncertain environment","volume":"39","author":"Tsao","year":"2012","journal-title":"Computers & Operations Research"},{"issue":"4","key":"10.3233\/JIFS-219196_ref13","doi-asserted-by":"crossref","first-page":"635","DOI":"10.1007\/s40815-015-0040-5","article-title":"Interval type-2 fuzzy capital budgeting","volume":"17","author":"Sari","year":"2015","journal-title":"International Journal of Fuzzy Systems"},{"issue":"4","key":"10.3233\/JIFS-219196_ref14","first-page":"76","article-title":"Application of fuzzy logic to capital budgeting decisions; 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