{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T22:41:57Z","timestamp":1776811317806,"version":"3.51.2"},"reference-count":18,"publisher":"European Society of Computational Methods in Sciences and Engineering","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["JCM"],"published-print":{"date-parts":[[2020,9,30]]},"abstract":"<jats:p>The effect of eutrophication is characterized by dense algal and plant growth due to the enrichment of nutrients for photosynthesis. As a result, it often plays an important role to the formation of plants that float in the surface of a water body. When nutrients are increasing in aquatic ecosystems, the photosynthetic plants grow rapidly. As a result, the algae limit the amount of dissolved oxygen required for respiration by other species in the water. Multi-criteria analysis has helped us towards the understanding and estimation of all physical, chemical and biological functions. In this paper, the examined water body, as a rich and variable system, is an ideal case for our study. Our purpose is to investigate some of the factors responsible for eutrophication (water temperature, nitrates, total phosphorus, Secchi depth, chlorophyll-a) using fuzzy logic. In this method, there are infinite numbers of fuzzy implications which can be used, since the proposition can take any value in the close interval [0,1]; hence, the investigation of the most appropriate implication is required. In this paper, we propose a method of evaluating fuzzy implications constructing triangular fuzzy numbers for all of the studied factors coming from statistical data. The deviation of the true value is the key for the selection of the most appropriate fuzzy implication describing the functions and the mechanisms in this ecosystem.<\/jats:p>","DOI":"10.3233\/jcm-194015","type":"journal-article","created":{"date-parts":[[2020,2,11]],"date-time":"2020-02-11T10:49:55Z","timestamp":1581418195000},"page":"879-888","source":"Crossref","is-referenced-by-count":2,"title":["Research of fuzzy implications via fuzzy linear regression in data analysis for a fuzzy model"],"prefix":"10.66113","volume":"20","author":[{"given":"G.","family":"Ellina","sequence":"first","affiliation":[{"name":"Department of Civil Engineering, School of Engineering, Democritus University of Thrace, Xanthi, Greece"}]},{"given":"G.","family":"Papaschinopoulos","sequence":"additional","affiliation":[{"name":"Department of Environmental Engineering, School of Engineering, Democritus University of Thrace, Xanthi, Greece"}]},{"given":"B.K.","family":"Papadopoulos","sequence":"additional","affiliation":[{"name":"Department of Civil Engineering, School of Engineering, Democritus University of Thrace, Xanthi, Greece"}]}],"member":"55691","reference":[{"key":"10.3233\/JCM-194015_ref1","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1007\/s10750-007-0577-x","article-title":"State of the art in the functioning of shallow Mediterranean lakes: workshop conclusions","volume":"584","author":"Beklioglu","year":"2007","journal-title":"Hydrobiologia"},{"issue":"2","key":"10.3233\/JCM-194015_ref2","first-page":"19","article-title":"A method for the evaluation and selection of an appropriate fuzzy implication by using statistical data","volume":"XX","author":"Botzoris","year":"2015","journal-title":"Fuzzy Economic Review"},{"key":"10.3233\/JCM-194015_ref3","doi-asserted-by":"crossref","unstructured":"M. Chamoglou, T. Papadimitriou and I. Kagalou, Key-descriptors for the functioning of a Mediterranean reservoir: the case of the new Lake Karla-Greece, Environmental Processes 1 (2014), 127\u2013135.","DOI":"10.1007\/s40710-014-0011-0"},{"key":"10.3233\/JCM-194015_ref4","doi-asserted-by":"crossref","first-page":"767","DOI":"10.4319\/lo.1974.19.5.0767","article-title":"The phosphorus-chlorophyll relationship in lakes","volume":"19","author":"Dulon","year":"1974","journal-title":"Limnology Oceanography"},{"key":"10.3233\/JCM-194015_ref5","first-page":"105","article-title":"Selection of the most appropriate parameter for the chlorophyll-a estimation of an artificial lake via fuzzy linear regression","volume":"55","author":"Ellina","year":"2016","journal-title":"European Water"},{"key":"10.3233\/JCM-194015_ref6","doi-asserted-by":"crossref","unstructured":"G. Ellina, G. Papaschinopoulos and B.K. Papadopoulos, Fuzzy inference systems: selection of the most appropriate fuzzy implication in terms of statistical data, Environmental Processes 4 (2017), 923\u2013935.","DOI":"10.1007\/s40710-017-0266-3"},{"key":"10.3233\/JCM-194015_ref7","doi-asserted-by":"publisher","DOI":"10.1063\/1.5043914"},{"key":"10.3233\/JCM-194015_ref8","unstructured":"G.J. Klir and B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice Hall, Upper Saddler River, NJ."},{"key":"10.3233\/JCM-194015_ref9","doi-asserted-by":"crossref","first-page":"993","DOI":"10.4319\/lo.1975.20.6.0993","article-title":"Development of oxygen deficits in 14 southern Ontario lakes","volume":"20","author":"Lasenby","year":"1975","journal-title":"Limnology Oceanography"},{"issue":"5","key":"10.3233\/JCM-194015_ref10","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1007\/s004770050054","article-title":"Analysis of reservoir water quality using fuzzy synthetic evaluation","volume":"13","author":"Lu","year":"1999","journal-title":"Stochastic Environmental Research & Risk Assessment"},{"key":"10.3233\/JCM-194015_ref11","unstructured":"OECD (1982)Eutrophication of Waters: Monitoring, Assessment and Control. Organisation of Economic Cooperation and Development, Paris, p. 154"},{"issue":"8","key":"10.3233\/JCM-194015_ref12","doi-asserted-by":"crossref","first-page":"556","DOI":"10.1007\/s00500-003-0314-y","article-title":"Similarities and distances in fuzzy regression models","volume":"8","author":"Papadopoulos","year":"2004","journal-title":"Soft Computing"},{"issue":"2","key":"10.3233\/JCM-194015_ref13","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1023\/A:1021784524897","article-title":"Similarities in fuzzy regression models","volume":"102","author":"Papadopoulos","year":"1999","journal-title":"Journal of Optimization Theory and Applications"},{"key":"10.3233\/JCM-194015_ref14","first-page":"l","article-title":"Primary production by phytoplankton community in some Japanese lakes and its dependence on lake depth","volume":"62","author":"Samakoto","year":"1966","journal-title":"Archiv f\u00fcr Hydrobiologie"},{"key":"10.3233\/JCM-194015_ref15","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1016\/0169-5347(93)90254-M","article-title":"Alternative equilibria in shallow lakes","volume":"8","author":"Scheffer","year":"1993","journal-title":"Trends in Ecology & Evolution"},{"issue":"10a","key":"10.3233\/JCM-194015_ref16","first-page":"3027","article-title":"Past, present and future concepts for conservation of the re-constructed Lake Karla (Thessaly-Greece)","volume":"21","author":"Sidiropoulos","year":"2012","journal-title":"Fresenius Environmental Bulletin"},{"key":"10.3233\/JCM-194015_ref17","first-page":"1","article-title":"Possibilities and limits of elementary models concerning the budget of substances in lakes","volume":"66","author":"Vollenweider","year":"1969","journal-title":"Archiv f\u00fcr Hydrobiologie"},{"key":"10.3233\/JCM-194015_ref18","first-page":"53","article-title":"Advances in defining critical loading levels for phosphorus in lake eutrophication","volume":"33","author":"Vollenweider","year":"1976","journal-title":"Memorie\u00a0dell Istituto Italiano di Idrobiologia"}],"container-title":["Journal of Computational Methods in Sciences and Engineering"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/JCM-194015","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T22:06:01Z","timestamp":1776809161000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/JCM-194015"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,30]]},"references-count":18,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.3233\/jcm-194015","relation":{},"ISSN":["1472-7978","1875-8983"],"issn-type":[{"value":"1472-7978","type":"print"},{"value":"1875-8983","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,9,30]]}}}