乐胖代购免代理版

{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T16:41:20Z","timestamp":1740156080162,"version":"3.37.3"},"reference-count":36,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2018,9,16]],"date-time":"2018-09-16T00:00:00Z","timestamp":1537056000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"Hypergraph theory is the most developed tool for demonstrating various practical problems in different domains of science and technology. Sometimes, information in a network model is uncertain and vague in nature. In this paper, our main focus is to apply the powerful methodology of fuzziness to generalize the notion of competition hypergraphs and fuzzy competition graphs. We introduce various new concepts, including fuzzy column hypergraphs, fuzzy row hypergraphs, fuzzy competition hypergraphs, fuzzy k-competition hypergraphs and fuzzy neighbourhood hypergraphs, strong hyperedges, kth strength of competition and symmetric properties. We design certain algorithms for constructing different types of fuzzy competition hypergraphs. We also present applications of fuzzy competition hypergraphs in decision support systems, including predator\u2013prey relations in ecological niche, social networks and business marketing.<\/jats:p>","DOI":"10.3390\/sym10090404","type":"journal-article","created":{"date-parts":[[2018,9,17]],"date-time":"2018-09-17T14:42:20Z","timestamp":1537195340000},"page":"404","source":"Crossref","is-referenced-by-count":23,"title":["A New Method to Decision-Making with Fuzzy Competition Hypergraphs"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7457-2106","authenticated-orcid":false,"given":"Musavarah","family":"Sarwar","sequence":"first","affiliation":[{"name":"Department of Mathematics, GC Women University, Sialkot 51310, Pakistan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7217-7962","authenticated-orcid":false,"given":"Muhammad","family":"Akram","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8121-8727","authenticated-orcid":false,"given":"Noura Omair","family":"Alshehri","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2018,9,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"23","DOI":"10.7151\/dmgt.1389","article-title":"Competition hypergraphs of digraphs with certain properties. II. Hamiltonicity","volume":"28","author":"Sonntag","year":"2008","journal-title":"Discuss. Math. Graph Theory"},{"key":"ref_2","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":"Inf. Control"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1016\/S0020-0255(71)80005-1","article-title":"Similarity relations and fuzzy orderings","volume":"3","author":"Zadeh","year":"1971","journal-title":"Inf. Sci."},{"key":"ref_4","unstructured":"Kaufmann, A. (1975). Introduction la Thorie des Sous-Ensembles Flous Lusage des Ingnieurs (Fuzzy Sets Theory), Masson."},{"key":"ref_5","unstructured":"Rosenfeld, A. (1975). Fuzzy Graphs, Academic Press."},{"key":"ref_6","first-page":"96","article-title":"Fuzzy hypergraph and fuzzy partition","volume":"25","author":"Lee","year":"1995","journal-title":"IEEE Trans. Syst. Man Cybern."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/0165-0114(95)00327-4","article-title":"Fuzzy transversals of fuzzy hypergraphs","volume":"84","author":"Goetschel","year":"1996","journal-title":"Fuzzy Sets Syst."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/S0165-0114(96)00256-4","article-title":"Fuzzy colorings of fuzzy hypergraphs","volume":"94","author":"Goetschel","year":"1998","journal-title":"Fuzzy Sets Syst."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"725","DOI":"10.1109\/3477.604121","article-title":"Interval-valued fuzzy hypergraph and fuzzy partition","volume":"27","author":"Chen","year":"1997","journal-title":"IEEE Trans. Syst. Man Cybern."},{"key":"ref_10","first-page":"46","article-title":"Intuitionistic fuzzy hypergraphs","volume":"9","author":"Parvathi","year":"2009","journal-title":"Cybern. Inf. Technol."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1016\/j.ins.2012.06.024","article-title":"Intuitionistic fuzzy hypergraphs with applications","volume":"218","author":"Akram","year":"2013","journal-title":"Inf. Sci."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Akram, M., and Luqman, A. (2017). Certain concepts of bipolar fuzzy directed hypergraphs. Mathematics, 5.","DOI":"10.3390\/math5010017"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"799","DOI":"10.1007\/s12597-017-0306-9","article-title":"Intuitionistic single-valued neutrosophic hypergraphs","volume":"54","author":"Akram","year":"2017","journal-title":"OPSEARCH"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1699","DOI":"10.3233\/JIFS-17228","article-title":"Bipolar neutrosophic hypergraphs with applications","volume":"33","author":"Akram","year":"2017","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Akram, M., and Shahzadi, G. (2018). Hypergraphs in m-polar fuzzy environment. Mathematics, 6.","DOI":"10.3390\/math6020028"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1007\/s12543-013-0140-6","article-title":"Fuzzy k-competition and p-competition graphs","volume":"2","author":"Samanta","year":"2013","journal-title":"Fuzzy Inf. Eng."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1007\/s12190-014-0785-2","article-title":"m-step fuzzy competition graphs","volume":"47","author":"Samanta","year":"2015","journal-title":"J. Appl. Math. Comput."},{"key":"ref_18","first-page":"385","article-title":"Bipolar fuzzy competition graphs","volume":"121","author":"Akram","year":"2015","journal-title":"Ars Comb."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1007\/s12190-016-1021-z","article-title":"Novel concepts of bipolar fuzzy competition graphs","volume":"54","author":"Sarwar","year":"2017","journal-title":"J. Appl. Math. Comput."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Akram, M., and Nasir, M. (2017). Certain competition graphs based on intuitionistic neutrosophic environment. Information, 8.","DOI":"10.3390\/info8040132"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"921","DOI":"10.3233\/JIFS-162207","article-title":"Neutrosophic competition graphs with applications","volume":"33","author":"Akram","year":"2017","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1142\/S1793005718500163","article-title":"New applications of m-polar fuzzy competition graphs","volume":"14","author":"Akram","year":"2018","journal-title":"New Math. Nat. Comput."},{"key":"ref_23","unstructured":"Berge, C. (1973). Graphs and Hypergraphs, North-Holland Publishing Company."},{"key":"ref_24","unstructured":"Harary, F. (1972). Graph Theory, Addison-Wesley."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/S0020-0255(96)00139-9","article-title":"Successor and source of (fuzzy)finite state machines and (fuzzy)directed graphs","volume":"95","author":"Mordeson","year":"1996","journal-title":"Inf. Sci."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"17","DOI":"10.5121\/ijfls.2012.2103","article-title":"Bipolar fuzzy hypergraphs","volume":"2","author":"Samanta","year":"2012","journal-title":"Int. J. Fuzzy Log. Syst."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Sarwar, M., and Akram, M. (2018). New applications of m-polar fuzzy matroids. Symmetry, 9.","DOI":"10.3390\/sym9120319"},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Zhan, J., Malik, H.M., and Akram, M. (2018). Novel decision-making algorithms based on intuitionistic fuzzy rough environment. Int. J. Mach. Learn. Cybern.","DOI":"10.1007\/s13042-018-0827-4"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"24","DOI":"10.9790\/5728-0262431","article-title":"Isomorphism on fuzzy hypergraphs","volume":"2","author":"Radhamani","year":"2012","journal-title":"IOSR J. Math."},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Akram, M., and Sarwar, M. (2018). Novel applications of m-polar fuzzy competition graphs in decision support system. Neural Comput. Appl.","DOI":"10.1007\/s00521-017-2894-y"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1016\/0167-8655(87)90012-2","article-title":"Some remarks on fuzzy graphs","volume":"6","author":"Bhattacharya","year":"1987","journal-title":"Pattern Recognit. Lett."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"1012","DOI":"10.1109\/21.23100","article-title":"A new approach to handling fuzzy decision-making problems","volume":"18","author":"Chen","year":"1988","journal-title":"IEEE Trans. Syst. Man Cybern."},{"key":"ref_33","unstructured":"Cohen, J.E. (1968). Interval Graphs and Food Webs: A Finding and a Problem, Document 17696-PR, RAND Coporation."},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Klir, G., and Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic, Prentice Hall.","DOI":"10.1109\/45.468220"},{"key":"ref_35","doi-asserted-by":"crossref","unstructured":"Mordeson, J.N., and Nair, P.S. (2001). Fuzzy Graphs and Fuzzy Hypergraphs, Springer. [2nd ed.].","DOI":"10.1007\/978-3-7908-1854-3"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"324","DOI":"10.1016\/j.dam.2004.02.010","article-title":"Competition hypergraphs","volume":"143","author":"Sonntag","year":"2004","journal-title":"Discret. Appl. Math."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/10\/9\/404\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,12]],"date-time":"2024-06-12T17:19:21Z","timestamp":1718212761000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/10\/9\/404"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,9,16]]},"references-count":36,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2018,9]]}},"alternative-id":["sym10090404"],"URL":"https:\/\/doi.org\/10.3390\/sym10090404","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2018,9,16]]}}}