IRANIAN JOURNAL OF FUZZY SYSTEMS
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1 In the Name of God IRANIAN JOURNAL OF FUZZY SYSTEMS EDITOR-IN-CHIEF M. Mashinchi, MANAGING EDITOR R. A. Borzooei, Shahid Beheshti University, Tehran, Iran EDITORIAL BOARD R. A. Borzooei, Tehran, Iran J. Mordeson, Omaha, USA A. Daneshgar, Tehran, Iran W. Pedrycz, Edmonton, Canada E. Eslami, Kerman, Iran M. K. Sen, Calcutta, India S. Katebi, Shiraz, Iran F. G. Shi, Beijing, China R. Langari, Doha, Qatar A. Vahidian Kamyad, Mashhad, Iran M. Mashinchi, Kerman, Iran J. L. Verdegay, Granada, Spain A. Memariani, Tehran, Iran R. Viertl, Wien, Austria R. Mesiar, Bratislava, Slovakia M. M. Zahedi, Kerman, Iran ADVISORY BOARD S. Abbasbandy (Ghazvin, Iran) M. Jamshidi (Albuquerque, USA) D. Ralescu (Cincinnati, USA) R. Aliev (Baku, Azerbaijan) Y. B. Jun (Chinju, South Korea) R. Saadati, (Tehran, Iran) J. Buckley (Birmingham, USA) L. Koczy (Budapest, Hungary) N. Sadati (Tehran, Iran) P. Corsini (Udine, Italy) Y. M. Liu (Chengdu, China) F. G. Shi (Beijing, China) B. De Baets (Gent, Belgium) M. Mukaidono (Kawasaki, Japan) A. Sostak (Riga, Latvia) P. Diamond (Brisbane, Australia) N. R. Pal (Calcutta, India) M. Sugeno (Kyoto, Japan) D. Dubois (Toulouse, France) I. Perfilieva (Ostrava, Czech) S. M. Taheri, (Tehran, Iran) S. C. Fang (Raleigh, USA) H. Prade (Toulouse, France) I. B. Turksen (Toronto, Canada) G. Jaeger (Stralsund, Germany) A. Ralescu (Cincinnati, USA) SUBSCRIPTION RATE Iranian Journal of Fuzzy Systems (IJFS) is published two-monthly by the University of Sistan and Baluchestan. Annual subscription rates (including packing and postage) are as follows: for university departments, libraries, industrial and other multiple-reader institutions in Iran 900,000 Rials, in other countries 40 EURO; for individuals in Iran 700,000 Rials, in other countries 30 EURO. Reprints of papers are available for 150,000 Rials per copy in Iran and 2 EURO per copy elsewhere (Including packing and postage). For more information, please visit the website of the journal. مجله( IJFS ) Iranian Journal of Fuzzy Systems طي نامه شماره 3/2910/62 مورخ 83/1/26 كميسيون نشريات علمي كشور درجه علمي پژوهشي دريافت نمود و ازآگوست 2007 در پايگاه استنادي بين المللي ISI نمايه شده است. Journal Address Iranian Journal of Fuzzy Systems University of Sistan and Baluchestan, P.O. Box Zahedan, Iran. Tel & Fax: ijfs@usb.ac.ir Homepage:
2 Volume 14 Number 6 December 2017 University of Sistan and Baluchestan, Zahedan, Iran.
3 I. Perfilieva, P. Števuliáková and R. Valášek F-Transform for Numerical Solution of Two-Point Boundary Value Problem 1 F. Boutaouche and N. Benamrane Diagnosis of Breast Lesions Using the Local Chan-Vese Model, Hierarchical Fuzzy Partitioning and Fuzzy Decision Tree Induction 15 A. Raj Mishra, P. Rani and D. Jain Information Measures Based Topsis Method for Multicriteria Decision Making Problem in Intuitionistic Fuzzy Environment 41 P. Zhang Multiperiod Credibilitic Mean Semi-Absolute Deviation Portfolio Selection 65 B. M. Uzzal Afsan On Convergence Theorems for Fuzzy Henstock Integrals 87 G. Hesamian and F. Bahrami Credibility Theory Oriented Preference Index for Ranking Fuzzy Numbers 103 H. Ahmadzade, M. Amini, S. M. Taheri and A. Bozorgnia Some Probabilistic Inequalities for Fuzzy Random Variables 119 J. Li and C. Fu Robustness of the Triple Implication Inference Method Based on the Weighted Logic Metric 135 G. Jäger On Stratified Lattice-Valued Convergence Spaces 149 Persian Translation of Abstracts Acknowlegments
4 176 Iranian Journal of Fuzzy Systems Vol.14, No. 6 (2017) ACKNOWLEGMENTS IJFS would like to thank the following experts for their invaluable help as Area Editors and Referees. Their advice and support are greatly appreciated. A: Area Editors S. Abbasbandy Imam Khomeini International University, Ghazvin, Iran A. Broumand Saeid Shahid Bahonar University of R. A. Borzooei Shahid Beheshti University of Tehran, Tehran, Iran M. Eftekhari Shahid Bahonar University of M. Horry Shahid chamran university ofkerman, Kerman, Iran G. Jäger Rhodes University, Grahamstown, South Africa M. Maghfouri Shahid Bahonar University of M. Mashinchi Shahid Bahonar University of R. Mesiar University in Bratislava, Slovakia H. Nezamabadi-pour R. Saadati Shomal University, Amol, Iran F. G. Shi Beijing Institute of Technology, Beijing, China S. M. Taheri University of Tehran, Tehran, Iran
5 Iranian Journal of Fuzzy Systems Vol. 14, No. 6 (2017) 177 B: Referees A. Adesina University in Ibadan, Nigeria H. Ahmadzade University of Sistan and Baluchestan, Zahedan, Iran T. Allahviranloo Islamic Azad University, Science and research branch, Tehran, Iran M. Amoozegar Kerman Graduate University of Technology, Kerman, Iran G. Antunes Monteiro Slovak Academy of Sciences, Slovakia K. Atanassov Bulgarian Academy of Sciences Centre, Bulgeria S. Aytar Süleyman Demirel University, Turkey D. Bhattacharyya VFSTR University, Guntur, AP, India A. Borumand Saeid, R. Bouyssou Ghent University, Department of Data Analysis,Belgium S.R. Chaudhari North Maharashtra University, Jalgaon, India K. Cvetko-Vah University of Ljubljana, Ljubljana, Slovenia X. Deng University of Regina, Regina, Canada W.A. Dudek Public university in Wrocław, Poland S. Ebrahimnejad Islamic Azad University-South Tehran Branch, Iran N. Gasilov Başkent University, Ankara, Turkey G. Georgescu University of Bucharest, Bucharest, Romania H. GholamHosseini University in Auckland, New Zealand Z. Gouyandeh Islamic Azad University, Tehran, Iran J. L. Grantner University Kalamazoo, Michigan, USA N. Gulati S.D. Post Graduate College (Lahore), Pakistan N. Hadidi B. Hazarika Rajib Gandhi University, Itanagar, India G. Heydari Shahid Bahonar university of X. He Zhejiang Normal University in Jinhua, China M. Horry Shahid chamran university of Kerman, Kerman, Iran S. N. Hoseini Shahid Bahonar University of M. Hyčko Slovak Academy of Sciences, Bratislava, Slovakia K. Jacob Universiti Tun Hussein Onn Malaysia D. Jingyao Baoji University of Arts and Sciences, Baoji, China V.G. Kaburlasos Human machines interaction (hmi) laboratory,, tei of kavala, greece E. E. Kerre Ghent University, Krijgslaan 281, Belgium A. Khastan Institute for Advanced Studies in Basic Sciences(IASBS), Zanjan, Iran S. khezerloo South Tehran Beranch, Islamic azad university, Tehran, Iran M. Khosravi O. Kocadağlı Mimar Sinan Fine Arts University, Istanbul, Turkey F. Kouchakinejad Graduate University of Advanced Technology, Kerman, Iran H. Lai Sichuan University, Sichuan, China H.W. Liu Shandong University, Jinan, China
6 178 Iranian Journal of Fuzzy Systems Vol.14, No. 6 (2017) Y. Liu Hebei University, Baoding, China P. Malicky Slovak Academy of Sciences, Slovakia Y. Maruyama Kyoto University, Kyoto, Japan C. G. Massouros Technological Institute of Sterea Hellas, Greece R. Mesiar University in Bratislava, Slovakia I. Mircea Bucharest University of Economic Studies, Romania A.K. Mirmostafaee Ferdowsi University of Mashhad, Mashhad, Iran H. Mohebi Dalhousie University, Nova Scotia, Canada S.M. Mousavi Laboratoire de Conception, Fabrication Commande, Paris, France S. Sh. Mousavi Kerman, Iran M. Naghshineh Fard Azad University, Shiraz, Iran M. Nasri slamic Azad university, Khomeinishahr, Isfahan., Iran H. Nezamabadi-pour Kerman, Iran G. Oliva University Campus Bio-Medico of Rome, Italy S. K. Oh University in Hwaseong, Gyeonggi, South Korea B. Pang Beijing Institute of Technology, Beijing, China G.A. Papakostas Human Machines Interaction (HMI) Laboratory, Sabanci University, Istanbul, Turkey J. Paseka University in Brno, Czech Republic D. Pei Zhejiang Sci-Tech University, Hangzhou, China Da. Qiu Sun Yat-sen University, Guangzhou, China Do. Qiu Chongqing University of Posts and Telecommunications,, P.R. China E. Rashedi Kerman Graduate University, kerman, iran S. Rashidi shahid bahonar university, kerman, iran M. Rezapour B. Riecan Matej Bel University, Tajovskeho 40, Banska Bystrica, Slovakia A. Ruiz Universidade Federal do Espı rito Santo, Santo, ES, Brazil G. Sadeghi Hakim Sabzevari University Sabzevar, Iran A. Sapena Universitat Politècnica de València, Valencia E. Savas Istanbul Ticaret University, İstanbul, Turkey B. Seselja University of Novi Sad, Serbia P. Shi University of Adelaide, Adelaide, Australia S. Simani University of Ferrara, Italy P.k. Singh Amity University, Noida-125 India S. Solovjovs University of Latvia, Riga, Latvia A. P. Sostak University in Riga, Latvia J. Spirkova Univerzita Mateja Bela, Banská Bystrica, Slovakia S. M. Taheri Ferdowsi University of Mashhad, Mashhad, Iran O. Talo Celal Bayar University, Manisa, Turkey B. Talaee Babol University of Technology, Babol, Iran
7 Iranian Journal of Fuzzy Systems Vol. 14, No. 6 (2017) 179 Y. Ting Chen Department of Information Management,Taiwan S.P. Tiwari Indian School of Mines, Dhanbad, India SH. Tong Liaoning University of Technology, Jinzhou,, PR China H. Toossian Shandiz Shahrood University, shahrood, Iran L. Torkzadeh Islamic Azad University, Kerman, Iran B. C. Tripathy Science and Technology Passchim Boragaon, India E. Turunen Tampere University of Technology Tampere, Finland J. Vahidi Mazandaran University, Babolsar, Iran Sh. Wan Jiangxi University of Finance and Economics, Nanchang, China J. Wang LanZhou University, LanZhou, China W. Wei Shanxi University, Taiyuan, Shanxi, China X. Xin Tianjin University of Technology, Tianjin, China J. Xu Nanjing Normal University, Nanjing, China Y. Xu China Agricultural University, Beijing, China Sh.J. Yang Fujian Normal University, Fuzhou, China W. H. Yang Shaanxi Normal University, Xi an, P. R. China K. Yao University of Chinese Academy of Sciences, China W. Yao Hebei University, Hebei, China K. Yazdani Institut national des sciences appliquées de Lyon,Villeurbanne, Franc A. Yoosofi shahid bahonar university, kerman, iran K. F. Yuen Liverpool University, Suzhou, Jiangsu Province, China R. Zarei University of Guilan, Rasht, Iran M. Zdimalova Uncertainty modelling Slovak University of Technology Bratislava, Slovakia
8 180 Iranian Journal of Fuzzy Systems Vol.14, No. 6 (2017) EXCHANGE AGREEMENTS AKCE International Journal of Graphs and Combinatorics Kalasalingam University, Tamil Nadu, India Archivum Mathematicum Masaryk University, Brno, Czech Republic Balkan Journal of Geometry and its Applications Balkan Society of Geometers, Bucharest, Romania Bulletin of the Iranain Mathematical Society University of Tehran, Tehran, Iran Bulletin of the Korean Mathematical Society The Korean Mathematical Society, Seoul, Korea Bulletin of the Malaysian Mathematical Sciences Society Universiti Sains Malaysia,Penang, Malaysia Bulletin of the Polish Academy of Sciences/Mathematics Polish Academy of Sciences, Warszawa, Poland Czechoslovak Mathematical Journal Academy of Sciences of the Czech Republic, Praha, Czech Republic Demonstratio Mathematica Warsawa University of Technology, Warsawa, Poland Glasnik Matematicki University of Zagreb, Zagreb, Croatia Houston Journal of Mathematics University of Houston, Houston, Texas, USA Hacettepe Journal of Mathematics and Statistics Hacettepe University, Ankara, Turkey International Journal of Applied Mathematics and Computer Science University of Zielona Góra, Zielona Góra, Poland Iranian Polymer Journal Iran Polymer and Petrochemical Institute, Tehran, Iran Italian Journal of Pure and Applied Mathematica Via delle Scienze,Udine, Italy Journal of Applied Mathematics and Computing Sunmoon University, Asan, South Korea Journal of the Egyptian Mathematical Society Egyptian Mathematical Society, Cairo, Egypt Journal of the Korean Mathematical Society The Korean Mathematical Society, Seoul, Korea Journal of Pure Mathematics University of Calcutta, Kolkata, India Mathematica Bohemica Academy of Sciences of the Czech Republic, Praha, Czech Republic Mathematical Forum Dibrugarh University, Dibrugarh, Assam, India
9 Iranian Journal of Fuzzy Systems Vol. 14, No. 6 (2017) 181 Mechanical & Aerospace Engineering Journal Imam Hossein University, Tehran, Iran Nihonkal Mathematical Journal Niigata University, Niigata, Japan Note di Matematica Universita' Via per Arnesano, Lecce, Italy Novi Sad Journal of Mathematics Institute of Mathematics, Novi Sad, Yugoslavia Quasigroups and Related Systems Institute of Mathematics, Technical University, Wroclaw, Poland Revista Colombiana de Matematicas Universidad Nacional de Colombia, Bogota, Colombia Saitama Mathematical Journal Saitama University, Saitama, Japan Soochow Journal of Mathematics Soochow University, Taipei, Taiwan Southeast Asian Bulletin of Mathematics University of Hong Kong, Hong Kong, China Tatra Mountains Mathematical Publications Slovak Academy of Sciences, Bratislava, Slovakia Turkish Journal of Fuzzy Systems University of Gaziantep, Gaziantep, Turkey Yokohama Mathematical Journal Yokohama City University &Yokohama National University, Yokohama, Japan
10 IRANIAN JOURNAL OF FUZZY SYSTEMS Aims and Scope The two-monthly Iranian Journal of Fuzzy Systems (IJFS) aims to provide an international forum for refereed original research works in the theory and applications of fuzzy sets and systems in the areas of foundations, pure mathematics, artificial intelligence, control, robotics, data analysis, data mining, decision making, finance and management, information systems, operations research, pattern recognition and image processing, soft computing and uncertainty modeling. Manuscripts submitted to the IJFS must be original unpublished works and should not be in consideration for publication elsewhere. Instructions to Authors The language of the journal is English. All accepted papers should also be prepared in AMS-TeX or LaTeX style and should be typed according to the style given in the journal homepage: Submission of Manuscripts Manuscripts submitted for publication should be sent electronically to this URL address: in pdf format. Proofs and Reprints Page proofs will be sent to the corresponding author to be checked for type setting and editing. There are no page charges and authors will receive only complimentary electronic reprint file. Proposing Special Issue If you are interested in proposing a special issue, please contact the editor-in-chief at: ijfs-editor@usb.ac.ir The journal is indexed and abstracted in: Science Citation Index Expanded (also known as SciSearch ) Journal Citation Reports/Science Edition Thomson ISI ISC (Islamic World Science Citation Center) Mathematical Reviews Zentralblatt MATH EBSCO SCOPUS Journal Address Iranian Journal of Fuzzy Systems University of Sistan and Baluchestan, P.O. Box Zahedan, Iran. Tel & Fax: ijfs@usb.ac.ir Homepage: ISSN: Published by the University of Sistan and Baluchestan and approved by the Ministry of Science, Research and Technology of Iran and the Iranian Fuzzy Systems Society.
IRANIAN JOURNAL OF FUZZY SYSTEMS
In the Name of God IRANIAN JOURNAL OF FUZZY SYSTEMS HONORARY CHAIRMAN L. A. Zadeh, University of California, Berkeley, USA EDITOR-IN-CHIEF M. Mashinchi, Shahid Bahonar University of Kerman, Kerman, Iran
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