{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T23:47:03Z","timestamp":1773272823015,"version":"3.50.1"},"reference-count":37,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2018,4,19]],"date-time":"2018-04-19T00:00:00Z","timestamp":1524096000000},"content-version":"vor","delay-in-days":108,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003335","name":"Ministry of Education, Youth and Science","doi-asserted-by":"publisher","award":["DN-02-10\/2016"],"award-info":[{"award-number":["DN-02-10\/2016"]}],"id":[{"id":"10.13039\/501100003335","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2018,1]]},"abstract":"<jats:p>Intercriteria analysis (ICA) is a new method, which is based on the concepts of index matrices and intuitionistic fuzzy sets, aiming at detection of possible correlations between pairs of criteria, expressed as coefficients of the positive and negative consonance between each pair of criteria. Here, the proposed method is applied to study the behavior of one type of neural networks, the modular neural networks (MNN), that combine several simple neural models for simplifying a solution to a complex problem. They are a tool that can be used for object recognition and identification. Usually the inputs of the MNN can be fed with independent data. However, there are certain limits when we may use MNN, and the number of the neurons is one of the major parameters during the implementation of the MNN. On the other hand, a high number of neurons can slow down the learning process, which is not desired. In this paper, we propose a method for removing part of the inputs and, hence, the neurons, which in addition leads to a decrease of the error between the desired goal value and the real value obtained on the output of the MNN. In the research work reported here the authors have applied the ICA method to the data from real datasets with measurements of crude oil probes, glass, and iris plant. The method can also be used to assess the independence of data with good results.<\/jats:p>","DOI":"10.1155\/2018\/3927951","type":"journal-article","created":{"date-parts":[[2018,4,19]],"date-time":"2018-04-19T23:31:12Z","timestamp":1524180672000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":39,"title":["A Hybrid Approach for Modular Neural Network Design Using Intercriteria Analysis and Intuitionistic Fuzzy Logic"],"prefix":"10.1155","volume":"2018","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1292-6225","authenticated-orcid":false,"given":"Sotir","family":"Sotirov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Evdokia","family":"Sotirova","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vassia","family":"Atanassova","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Krassimir","family":"Atanassov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7385-5689","authenticated-orcid":false,"given":"Oscar","family":"Castillo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Patricia","family":"Melin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Todor","family":"Petkov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stanimir","family":"Surchev","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2018,4,19]]},"reference":[{"key":"e_1_2_8_1_2","doi-asserted-by":"publisher","DOI":"10.1038\/nrg2278"},{"key":"e_1_2_8_2_2","volume-title":"An Introduction to Systems Biology: Design Principles of Biological Circuits","author":"Alon U.","year":"2007"},{"key":"e_1_2_8_3_2","doi-asserted-by":"publisher","DOI":"10.1038\/35059227"},{"key":"e_1_2_8_4_2","doi-asserted-by":"publisher","DOI":"10.1038\/nrg2267"},{"key":"e_1_2_8_5_2","doi-asserted-by":"publisher","DOI":"10.1038\/nature03288"},{"key":"e_1_2_8_6_2","doi-asserted-by":"publisher","DOI":"10.4024\/40701.jbpc.07.04"},{"key":"e_1_2_8_7_2","volume-title":"Principles of brain evolution","author":"Striedter G.","year":"2005"},{"key":"e_1_2_8_8_2","volume-title":"Modularity: understanding the development and evolution of complex natural systems","author":"Wagner G.","year":"2001"},{"key":"e_1_2_8_9_2","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pcbi.1000719"},{"key":"e_1_2_8_10_2","volume-title":"Spontaneous evolution of modularity and network motifs","author":"Suh N. P.","year":"2005"},{"key":"e_1_2_8_11_2","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0611630104"},{"key":"e_1_2_8_12_2","doi-asserted-by":"publisher","DOI":"10.1186\/1471-2148-7-169"},{"key":"e_1_2_8_13_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-10945-9"},{"key":"e_1_2_8_14_2","first-page":"1","article-title":"InterCriteria decision making. A new approach for multicriteria decision making, based on index matrices and intuitionistic fuzzy sets","volume":"11","author":"Atanassov K.","year":"2014","journal-title":"Issues in Intuitionistic Fuzzy Sets and Generalized Nets"},{"key":"e_1_2_8_15_2","unstructured":"InterCriteria Research Portal http:\/\/intercriteria.net\/."},{"key":"e_1_2_8_16_2","doi-asserted-by":"crossref","unstructured":"SotirovS. AtanassovaV. SotirovaE. BurevaV. andMavrovD. Application of the Intuitionistic Fuzzy InterCriteria Analysis Method to a Neural Network Preprocessing Procedure Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (IFSA-EUSFLAT-15) June 2015 Gij\u00f3n Spain. https:\/\/doi.org\/10.2991\/ifsa-eusflat-15.2015.222.","DOI":"10.2991\/ifsa-eusflat-15.2015.222"},{"key":"e_1_2_8_17_2","first-page":"115","article-title":"Blood plasma thermograms dataset analysis by means of intercriteria and correlation analyses for the case of colorectal cancer","volume":"20","author":"Todinova S.","year":"2016","journal-title":"International Journal Bioautomation"},{"key":"e_1_2_8_18_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-21133-6_7"},{"key":"e_1_2_8_19_2","first-page":"S1","article-title":"Intuitionistic Fuzzy Sets. VII ITKR Session, Sofia, 20-23 June 1983","volume":"20","author":"Atanassov K.","year":"1983","journal-title":"International Journal Bioautomation"},{"key":"e_1_2_8_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_2_8_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_2_8_22_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-7908-1870-3"},{"key":"e_1_2_8_23_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-29127-2_8"},{"key":"e_1_2_8_24_2","first-page":"S7","article-title":"Review and New Results on Intuitionistic Fuzzy Sets, Mathematical Foundations of Artificial Intelligence Seminar, Sofia, 1988","volume":"20","author":"Atanassov K.","year":"2016","journal-title":"International Journal Bioautomation"},{"key":"e_1_2_8_25_2","doi-asserted-by":"publisher","DOI":"10.1021\/ef502638c"},{"key":"e_1_2_8_26_2","unstructured":"FisherR. A.andMarshallM. Iris data set UC Irvine Machine Learning Repository https:\/\/archive.ics.uci.edu\/ml\/datasets\/Iris."},{"key":"e_1_2_8_27_2","unstructured":"GermanB.andSpiehlerV. Glass Identification Database UC Irvine Machine Learning Repository https:\/\/archive.ics.uci.edu\/ml\/datasets\/Glass+Identification."},{"key":"e_1_2_8_28_2","first-page":"77","article-title":"Software for InterCriteria Analysis: Implementation of the main algorithm","volume":"21","author":"Mavrov D.","year":"2015","journal-title":"Notes on Intuitionistic Fuzzy Sets"},{"key":"e_1_2_8_29_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-11313-5_9"},{"key":"e_1_2_8_30_2","volume-title":"InterCriteria Analysis: Ideas and problems, Notes on Intuitionistic Fuzzy Sets","author":"Atanassov K.","year":"2015"},{"key":"e_1_2_8_31_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.bbagen.2016.10.012"},{"key":"e_1_2_8_32_2","volume-title":"(2015-2016) Intercriteria and Correlation Analyses: Similarities, Differences and Simultaneous Use. Annual of \u201cInformatics\u201d Section, Union of Scientists in Bulgaria","author":"Marinov P. G."},{"key":"e_1_2_8_33_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-24139-0"},{"key":"e_1_2_8_34_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-26154-6_14"},{"key":"e_1_2_8_35_2","volume-title":"Neural Network Design","author":"Hagan M.","year":"1996"},{"key":"e_1_2_8_36_2","volume-title":"Neural Networks: A Comprehensive Foundation","author":"Haykin S.","year":"1994"},{"key":"e_1_2_8_37_2","doi-asserted-by":"publisher","DOI":"10.1038\/323533a0"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2018\/3927951.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2018\/3927951.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2018\/3927951","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T22:19:53Z","timestamp":1723155593000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2018\/3927951"}},"subtitle":[],"editor":[{"given":"Enzo Pasquale","family":"Scilingo","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2018,1]]},"references-count":37,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018,1]]}},"alternative-id":["10.1155\/2018\/3927951"],"URL":"https:\/\/doi.org\/10.1155\/2018\/3927951","archive":["Portico"],"relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"value":"1076-2787","type":"print"},{"value":"1099-0526","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,1]]},"assertion":[{"value":"2017-09-20","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2018-03-08","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2018-04-19","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"3927951"}}