乐胖代购免代理版

{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,11,27]],"date-time":"2024-11-27T17:12:28Z","timestamp":1732727548664,"version":"3.29.0"},"reference-count":44,"publisher":"SAGE Publications","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2021,1,4]]},"abstract":"A q-rung orthopair fuzzy set (q-ROFS) is more practical and powerful than intuitionistic fuzzy set (IFS) and Pythagorean fuzzy set (PFS) to model uncertainty in various decision-making problems. In this research article, we introduce the notion of q-rung orthopair fuzzy Hamacher graphs (q-ROFHGs). We utilize the Hamacher operators because they are flexible and parameterized in decision making. We determine the energy of q-ROFHGs as well as the energy of splitting and shadow q-ROFHGs. In addition, we propose the Randi\u0107 energy of q-ROFHG and its some substantial results. Further, we present the idea of q-rung orthopair fuzzy Hamacher digraphs (q-ROFHDGs). We solve a decision-making numerical example related to the selection of best housing society for investment by calculating the energy and Randi\u0107 energy of q-ROFHDGs and an algorithm to exhibit the applicability of the presented concepts in decision making. Finally, we present the conclusion.<\/jats:p>","DOI":"10.3233\/jifs-201700","type":"journal-article","created":{"date-parts":[[2020,11,27]],"date-time":"2020-11-27T16:09:05Z","timestamp":1606493345000},"page":"1367-1390","source":"Crossref","is-referenced-by-count":0,"title":["q-Rung orthopair fuzzy graphs under Hamacher operators"],"prefix":"10.1177","volume":"40","author":[{"given":"Muhammad","family":"Akram","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan"}]},{"given":"Samirah","family":"Alsulami","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Jeddah, College of Science, Jeddah, Saudi Arabia"}]},{"given":"Faruk","family":"Karaaslan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences, \u00c7ankiri Karatekin University, \u00c7ankiri, Turkey"}]},{"given":"Ayesha","family":"Khan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan"}]}],"member":"179","reference":[{"issue":"8","key":"10.3233\/JIFS-201700_ref1","doi-asserted-by":"crossref","first-page":"136","DOI":"10.3390\/math6080136","article-title":"Energy of Pythagorean fuzzy graphs with applications","volume":"6","author":"Akram","year":"2018","journal-title":"Mathematics"},{"issue":"2","key":"10.3233\/JIFS-201700_ref2","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1007\/s40747-019-0106-3","article-title":"Simplified interval-valued Pythagorean fuzzy graphs with application","volume":"5","author":"Akram","year":"2019","journal-title":"Complex and Intelligent Systems"},{"doi-asserted-by":"publisher","key":"10.3233\/JIFS-201700_ref3","DOI":"10.1007\/s41066-020-00229-z"},{"issue":"4","key":"10.3233\/JIFS-201700_ref4","doi-asserted-by":"crossref","first-page":"489","DOI":"10.3390\/sym11040489","article-title":"A novel description on edge-regular q-rung picture fuzzy graphs with application","volume":"11","author":"Akram","year":"2019","journal-title":"Symmetry"},{"issue":"1-2","key":"10.3233\/JIFS-201700_ref5","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1007\/s12190-019-01249-y","article-title":"q-rung picture fuzzy graphs: a creative view on regularity with applications","volume":"61","author":"Akram","year":"2019","journal-title":"Journal of Applied Mathematics and Computing"},{"issue":"1","key":"10.3233\/JIFS-201700_ref6","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","article-title":"Intuitionistic fuzzy sets","volume":"20","author":"Atanassov","year":"1986","journal-title":"Fuzzy Sets and Systems"},{"issue":"3","key":"10.3233\/JIFS-201700_ref7","first-page":"455","article-title":"Energy of a fuzzy graph","volume":"6","author":"Anjali","year":"2013","journal-title":"Annals of Fuzzy Mathematics and Informatics"},{"key":"10.3233\/JIFS-201700_ref8","first-page":"1","article-title":"Laplacian energy of an intuitionistic fuzzy graph","volume":"8","author":"Basha","year":"2015","journal-title":"Indian Journal of Science and Technology"},{"key":"10.3233\/JIFS-201700_ref9","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/j.engappai.2019.103259","article-title":"Some q-rung orthopair fuzzy Hamacher aggregation operators and their application to multiple attribute group decision making with modified EDAS method","volume":"87","author":"Darko","year":"2020","journal-title":"Engineering Applications of Artificial Intelligence"},{"issue":"12","key":"10.3233\/JIFS-201700_ref10","doi-asserted-by":"crossref","first-page":"5275","DOI":"10.1007\/s13369-017-2625-9","article-title":"Some picture fuzzy aggregation operators and their applications to multi-criteria decision making","volume":"42","author":"Garg","year":"2017","journal-title":"Arabian Journal for Science and Engineering"},{"issue":"2","key":"10.3233\/JIFS-201700_ref11","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1615\/Int.J.UncertaintyQuantification.2017018981","article-title":"Distance and similarity measure for intuitionistic multiplicative preference relation and its application","volume":"7","author":"Garg","year":"2017","journal-title":"International Journal for Uncertainty Quantification"},{"key":"10.3233\/JIFS-201700_ref12","first-page":"1","article-title":"The energy of a graph. 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