Alfredo Petrosino Vincenzo Loia Witold Pedrycz (Eds.) Fuzzy Logic 7 4 and Soft Computing 1 0 1 AI Applications N L 11th International Workshop, WILF 2016 Naples, Italy, December 19–21, 2016 Revised Selected Papers 123 fi Lecture Notes in Arti cial Intelligence 10147 Subseries of Lecture Notes in Computer Science LNAI Series Editors Randy Goebel University of Alberta, Edmonton, Canada Yuzuru Tanaka Hokkaido University, Sapporo, Japan Wolfgang Wahlster DFKI and Saarland University, Saarbrücken, Germany LNAI Founding Series Editor Joerg Siekmann DFKI and Saarland University, Saarbrücken, Germany More information about this series at http://www.springer.com/series/1244 Alfredo Petrosino Vincenzo Loia (cid:129) Witold Pedrycz (Eds.) Fuzzy Logic and Soft Computing Applications 11th International Workshop, WILF 2016 – Naples, Italy, December 19 21, 2016 Revised Selected Papers 123 Editors Alfredo Petrosino Witold Pedrycz University of Naples “Parthenope” University of Alberta Naples Edmonton, AB Italy Canada Vincenzo Loia University of Salerno Fisciano, (Salerno) Italy ISSN 0302-9743 ISSN 1611-3349 (electronic) Lecture Notesin Artificial Intelligence ISBN 978-3-319-52961-5 ISBN978-3-319-52962-2 (eBook) DOI 10.1007/978-3-319-52962-2 LibraryofCongressControlNumber:2016963602 LNCSSublibrary:SL7–ArtificialIntelligence ©SpringerInternationalPublishingAG2017 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartofthe material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynow knownorhereafterdeveloped. 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Printedonacid-freepaper ThisSpringerimprintispublishedbySpringerNature TheregisteredcompanyisSpringerInternationalPublishingAG Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland Preface The 11th International Workshop on FuzzyLogicand Applications, WILF 2016,held in Naples (Italy) during December 19–21, 2016, covered all topics in theoretical, experimental, and application areas of fuzzy, rough, and soft computing in general, with theaim of bringing together researchers from academiaand industry to report on thelatestadvancesintheirfieldsofinterest.AmajorobjectiveofWILFinthepresent rich data era is the presentation of the consolidated results of fuzzy, rough, and soft computing and of their potential applications to the analysis of big data and computer visiontasksandthepotentialimpactondeeplearningasmechanismstocapturehidden information from data. This event represents the pursuance of an established tradition of biannual inter- disciplinarymeetings.WILFreturnedtoNaplesforthethirdtime,afterthefirstedition in 1995, when it was formerly established, and after the edition of 2003 that consol- idated the internationalvalidity ofthe workshop. The previouseditions of WILF have been held, with an increasing number of participants, in Naples (1995), Bari (1997), Genoa (1999), Milan (2001), Naples (2003), Crema (2005), Camogli (2007), Palermo (2009), Trani (2011), and Genoa (2013). Each event has focused on distinct main thematicareasoffuzzylogicandrelatedapplications.Fromthisperspective,oneofthe maingoalsoftheWILFworkshopseriesistobringtogetherresearchersanddevelopers from both academia and high-tech companies and foster multidisciplinary research. WILF 2016 certainly achieved the goal. This volume consists of 22 selected peer-reviewed papers, discussed at WILF 2016 as oral contributions. Two invited speakersprovidedusefullinksbetweenlogicandgranularcomputingandapplications: – HaniHagras(UniversityofEssex,UK)“GeneralType-2FuzzyLogicSystemsFor Real World Applications” – Witold Pedrycz (University of Alberta, Canada) “Algorithmic Developments of Information Granules of Higher Type and Higher Order and Their Applications” AtutorialbyFrancescoMasulliinahappymomentofhislifegaveinsightintothe role of computational intelligence in big data with an emphasis on health and well-being applications: – FrancescoMasulli(UniversityofGenoa,Italy)“ComputationalIntelligenceandBig Data in Health and Well-Being” WILF2016wasalsoanoccasiontofullyrecognizetheachievementsofAntonioDi Nola,who,ashonorarychair,pointedouthowfuzzylogicmaybeseenasalogicitself: – Antonio Di Nola (University of Salerno, Italy) “Fuzzy Logic as a Logic” In addition, awards made available by the Italian Group of Pattern Recognition Researchers(GIRPR),affiliatedtotheInternationalAssociationofPatternRecognition (IAPR), the European Society for Fuzzy Logic and Technology (EUSFLAT), were VI Preface handed to PhD students who reported their achievements and research plans in a successfulPhDForum, aswell asyoungresearchers who wereauthorsofWILF 2016 papers. All of the award recipients were invited to submit their papers to the Infor- mation Sciences journal as encouragement of their valuable work in the field. Thanks are due to the Program Committee members for their commitment to pro- vide high-quality, constructive reviews, to the keynote speakers and the tutorial pre- senters, and to the local Organizing Committee for the support in the organization of the workshop events. Special thanks to all the CVPRLab staff and specifically Francesco, Alessandro, Mario, Gianmaria, and Vincenzo, for their continuous support and help. December 2016 Alfredo Petrosino Vincenzo Loia Witold Pedrycz Organization WILF 2016 was jointly organized by the Department of Science and Technology, University of Naples Parthenope, Italy, the EUSFLAT, European Society for Fuzzy LogicandTechnology,theIEEE,ComputationalIntelligenceSociety,ItalianChapter, and the GIRPR, Group of Italian Researchers in Pattern Recognition. Conference Chairs Alfredo Petrosino University of Naples Parthenope, Italy Vincenzo Loia University of Salerno, Italy Witold Pedrycz University of Alberta, Canada Program Committee Andrzej Bargiela University of Nottingham, UK Isabelle Bloch CNRS, LTCI, Université Paris-Saclay, France Gloria Bordogna CNR IREA, Italy Humberto Bustince Universidad Publica de Navarra, Spain Giovanna Castellano University of Bari, Italy Oscar Castillo Tijuana Institute of Technology, Mexico Ashish Ghosh Indian Statistical Institute, India Fernando Gomide University of Campinas, Brazil Hani Hagras University of Essex, UK Enrique Herrera-Viedma University of Granada, Spain Tzung-Pei Hong National University of Kaohsiung, Taiwan Ronald Yager Iona College, USA Javier Montero Universidad Complutense de Madrid, Spain Janusz Kacprzyk Polish Academy of Sciences, Poland Nikola Kasabov Auckland University of Technology, New Zealand Etienne Kerre Ghent University, Belgium László Kóczy Budapest University of Technology and Economics, Hungary Vladik Kreinovich University of Texas at El Paso, USA Sankar Pal Indian Statistical Institute, Kolkata, India Marek Reformat University of Edmonton, Canada Stefano Rovetta University of Genova, Italy VIII Organization Organizing Committee Francesco Camastra University of Naples Parthenope, Italy Giosuè Lo Bosco University of Palermo, Italy Antonino Staiano University of Naples Parthenope, Italy WILF Steering Committee Antonio Di Nola University of Salerno, Italy Francesco Masulli University of Genoa, Italy Gabriella Pasi University of Milano Bicocca, Italy Alfredo Petrosino University of Naples Parthenope, Italy Scientific Secretary Federica Andreoli University of Naples Parthenope, Italy Financing Institutions DIBRIS, University of Genoa, Italy EUSFLAT, European Society for Fuzzy Logic and Technology GIRPR, Group of Italian Researchers in Pattern Recognition Contents Invited Speakers Towards a Framework for Singleton General Forms of Interval Type-2 Fuzzy Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 GonzaloRuiz-García,HaniHagras,IgnacioRojas,andHectorPomares Algorithmic Developments of Information Granules of Higher Type and Higher Order and Their Applications. . . . . . . . . . . . . . . . . . . . . . . . . . 27 Witold Pedrycz Fuzzy Measures and Transforms Cardiovascular Disease Risk Assessment Using the Choquet Integral. . . . . . . 45 Luca Anzilli and Silvio Giove Fuzzy Transforms and Seasonal Time Series . . . . . . . . . . . . . . . . . . . . . . . 54 Ferdinando Di Martino and Salvatore Sessa Improving Approximation Properties of Fuzzy Transform Through Non-uniform Partitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 Vincenzo Loia, Stefania Tomasiello, and Luigi Troiano Defining the Fuzzy Transform on Radial Basis. . . . . . . . . . . . . . . . . . . . . . 73 Elena Mejuto, Salvatore Rampone, and Alfredo Vaccaro Granularity and Multi-logics Reasoning with Information Granules to Support Situation Classification and Projection in SA. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 Angelo Gaeta, Vincenzo Loia, and Francesco Orciuoli Sequences of Orthopairs Given by Refinements of Coverings. . . . . . . . . . . . 95 Stefania Boffa and Brunella Gerla Minimally Many-Valued Extensions of the Monoidal t-Norm Based Logic MTL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106 Stefano Aguzzoli and Matteo Bianchi Feature Selection Through Composition of Rough–Fuzzy Sets . . . . . . . . . . . 116 Alessio Ferone and Alfredo Petrosino