Soft computing: Fuzzy Models and Applications

Soft computing: Fuzzy Models and Applications Ivan Popchev Bulgarian Academy of Sciences Abstract: The paper attempts to give protection of soft computing in the investigations of the scientist form the institutes of Informatics, Information technologies and Information and Communications Technologies of the Bulgarian Academy of Sciences. Presented is a short list of 60 publications on Soft Computing. Key words: Berkeley Initiative of Soft computing, Soft computing, fuzzy models, artificial intelligence. 1. Introduction Lotfi A. Zadeh in many of his studies and writings (http://www.cs.barkely.edu/-zadeh) introduces the idea of Soft computing as an example of a new kind of artificial intelligence. In a paper published in 1981, “Possibility Theory of Soft Data analysis” L. Zadeh employed the term “soft data analysis” to described data that are partly probabilistic and partly possibilistic. Ten years later, in 1991 the Berkeley Initiative in Soft Computing (BISC) was launched. This initiative was motivated by the fact that in science, as in other realms, there is a tendency to be nationalistic – to commit oneself to particular methodology and employ it as if it were a universal tool. The essence of soft computing in that, unlike the traditional, hard computing, it is aimed at an accommodation with the pervasive imprecision of the real world. Thus, the principle of soft computing is: “… exploit the tolerance for imprecision and partial truth to achieve tractability, robustness, low solution cost and letter rapport with reality”. In the final analysis, the role model for soft computing is the human mind. Lotfi A. Zadeh determined that soft computing is not a single methodology. Rather, it is a partnership. The principal partners at this juncture are fuzzy logic, neuro-computing and probabilistic reasoning, with the latter subsuming genetic algorithms, chaotic systems, belief networks and parts of learning theory. Moreover, Lotfi A. Zadeh wrote in the following periods that in coming years, the ubiquity of intelligent systems is certain to have a profound impact on the ways in which man-made intelligent systems are conceived, designed, manufactured, employed and interacted with. With the development since 1991, the Berkeley Initiative of Soft Computing, the guiding principle and the principal partners of soft computing have found evidence not only in academic research but also in a wide range of practically useful solutions for people and society in many countries. Noting in these few lines only one aspect of Lotfi Zadeh's work it must be emphasized his enormous contribution to Bulgarian and world science. Deservedly Prof. Lotfi Aliasker Zadeh since 2005 is foreign member of the Bulgarian Academy of Sciences. 2. Soft Computing in development In the departments of "Soft Computing" and "Intelligent Systems" of the Institutes of Informatics, Information Technologies and Information and Communication Technologies of the Bulgarian Academy of Sciences in the period 1991 - 2019 under European programs and contracts, between academic and national projects with the National Science Fund and Innovation Fund, in collaboration with teams of researchers from the Plovdiv University “Paisiy Hilendarski” and Burgas Free University, institutes and companies have designed new methods, models and software tools that have been developed and widely used. These results, a product of the efforts of many teams of scientists, have proved the claim of L. A. Zadeh for Soft computing as an example of a new kind of artificial intelligence. In recent three decades, selected publications have emerged from numerous contracts and projects and have found acceptance on the pages of: A. Journals: A1. Fuzzy Sets and Systems (1993, 1998, 2003). A2. Fuzzy Optimization and Decision Making (2007). A3. International Journal Cybernetics and Systems (1998, 1999, 2001). A4. Advanced Studies in Contemporary Mathematics (2005, 2006, 2007). A5. International Journal of Soft Computing (2012). A6. Computational and Applied Mathematics (2018). A7. International Journal of Engineering Science and Innovative Technologies (2015). A8. Cybernetics and Information Technologies (2002, 2006, 2008, 2019/1, 2009/4, 2010, 2012, 2015, 2016, 2017/1, 2017/3, 2017/3, 2018/2/2, 2019). А9. Problems of Engineering Cybernetics and Robotics (1991). A10. Comptes Rendns de l’Academie bulgare des Sciences (1998, 2001, 2002, 2003/1, 2003/10, 2004, 2005, 2006, 2007, 2008/3, 2008/5, 2009, 2010, 2013). A11. Engineering science (2016, 2019). A12. Management and Sustainable Development (2012). B. Proceedings (Transactions): B1. International conference of Fuzzy Systems, Fuzzy IEE’96, New Orleans, LA, 1996. B2. Thirteen European Meeting on Cybernetics and Systems Research, Vienna, 1996. B3. XIV European Meeting on Cybernetics and Systems Research, EMCSR’98, Vienna, 1998. B4. Xth International Conference on Multiple Criteria Decision Making, Taipei, 1992. B5. International IEEE Conference “Intelligent Systems”, Varna, 2004. B6. Twenty-fifth Conference of Union on the Bulgarian mathematicians “Mathematics and Education”, Kazanlak, 1996. B7. Innovative Techniques in Instruction Technology, E-Learning, E-assessment and Education, New York, 2008. B9. 11th International Conference (ICANNGA 2013), Lausanne, 2013. B10. Machine Learning and Artificial Intelligence, Manchester, 2016. B11. 19th International Symposium on Electrical Apparatus and Technologies (SiELA), 2016. B12. Seventh International Conference on Telecommunications and Rensing (ICTR’18), Barcelona,2018. B13. 42nd International Convention on Information and Communication Technology, Electronics and Microelectronics (MIPRO 2019), 2019. C. Handbook: C1. Fuzzy Sets Comparison – Theory, Algorithms and Applications (Ed.: George A. Papakostas, Anestis G. Hatzimichailidis and Vassilis G. Kaburlasos), Gate to Computer Science and Research Vol. 7, 2016. These publications are recognized in Scopus, Web of Science, Google Scholar and other international scientific databases and refereed journals. Full texts of the publications can be found in http://www.researchgate.net and http://www.bas.academia.edu and in the websites of the respective institutes and university publications. A substantial part of the results in these publications are repeatedly cited and developed in the works of many academic publications, PhD thesis, monographs, handbooks, projects and find their place in bachelor's, master's and PhD programs in national and international educational and research institutes. 3. A short list of chronological publications for the last three decades of the activities of eleven authors on Soft Computing Popchev, I., V.Peneva. Comparison of Cluster Partitions. – Problems of Engineering Cybernetics and Robotics, 1991, No 33, 33-43. ISSN: 0204-9848 Popchev, I., V. Peneva. A fuzzy multicriteria decision making algorithm. – Proceedings of the X-th International Conference on Multiple Criteria Decision Making, July 19-24, 1992, Taipei, Vol, II, 1992, 11-16. Popchev, I., V. Peneva. An Algorithm for comparison of fuzzy sets. – Fuzzy sets and systems, Elsevier Science Publishers, North-Holland, Amsterdam, v.60, 1993, No 1, 59-65. ISSN: 0195-0114. Peneva, V., I. Popchev. Rating alternative using fuzzy numbers. - Proceedings of the Thirteenth European Meeting on Cybernetics and Systems Research (Edited by Robert Trappl), 9-12 April 1996, Cybernetics and Systems ‘96, vol. 1, Vienna, 1996, 347-349. ISSN: 0196-9722. Peneva, V., I. Popchev. Fuzzy relations in decision making. Fuzzy - IEEE'96. - Proceedings of International Conference on Fuzzy Systems, New Orleans, LA, Sept. 8-11, 1996, 336-341, 0-7803-3645-3/96$5.001996IEEE. Peneva, V., I. Popchev. Fuzzy numbers in decision making systems. – Proceedings of Twenty-fifth conference of Union on the Bulgarian mathematicians “Mathematics and Education”, Kazanlak, April 6-9, 1996, 221-228. Peneva, V., I. Popchev. Decision making with fuzzy relations. - Proceedings of the XIV European Meeting on Cybernetics and Systems Research (EMCSR'98), Vienna, Austria, 14-17 April 1998, 195-200. Peneva, V., I. Popchev. Fuzzy ordering on the basis of multicriteria aggregation. – International Journal of Cybernetics and Systems, Vol. 29, Taylor and Francis (Editor Robert Trappl), No 6, 1998, 613-623. ISSN: 0196-9722. Peneva, V., I. Popchev. Comparison of clusters from fuzzy numbers. – Fuzzy Sets and Systems, v. 97, No 1, 1998, 75-81, 0165-0114/98/$19.001998 Elsevier Science B.V. ISSN: 0195-0114. Peneva, V., I. Popchev. Aggregation of fuzzy relations. – Comptes Rendus de l'Académie bulgare de Sciences, v.51, No 9-10, 1998, 41-44. ISSN:1310-1331. Peneva, V., I. Popchev. Fuzzy logic operators in Decision - Making. – International Journal of Cybernetics and Systems. (Editor Robert Trappl), v. 30, 1999, No 6, 725-745. ISSN: 0196-9722. Peneva, V., I. Popchev. Aggregation of fuzzy relations in multicriteria decision making. – Comptes Rendus de l'Académie bulgare des Sciences, v.54, 2001, No. 4, 47-52. ISSN: 1310-1331. Peneva, V., I. Popchev. Aggregation on fuzzy numbers in a decision making situation. – International Journal of Cybernetics and Systems, v.32, issue 8, p. 871-885, 2001. ISSN: 0196-9722. Peneva, V., I. Popchev. Sensitivity of Fuzzy Logic Operators. – Comptes rendue de l'Académie bulgare des Sciences, v.55, 2002, No 3, 45-50. ISSN: 1310-1331. Peneva, V., I. Popchev. Fuzzy multicriteria decision-making. – Cybernetics and Information Technologies, v.2, 2002, No 1, 16-26. ISSN: 1311-9702. Peneva, V., I. Popchev. Properties of fuzzy relations obtained by aggregation operators. - Comptes Rendus de l'Académie bulgarie des Sciences, v.56, 2003, No 1, 9-16, ISSN: 1310-1331. Peneva, V., I. Popchev. Weighted aggregation of fuzzy relations. – Comptes Rendus de l'Académie bulgarie des Sciences, Vol. 56, 2003, No. 10, 29-35, ISSN: 1310-1331. Peneva, V., I. Popchev. Properties of the aggregation operators related with fuzzy relations. – Fuzzy sets and Systems, Vol. 139, 2003, No. 3, 615-633, ISSN: 0165-0114. Peneva, V., I. Popchev. Fuzzy decisions in soft computing. - Proceedings of 2nd International IEEE Conference "Intelligent Systems" (Varna, Bulgaria, June 22-24, 2004), Vol. II, 2004, 606-609, IEEECat.No. 04EX791. ISBN: 0-7803-8278-1. Library of Congress Control Number: 2003115853. Peneva, V., I. Popchev. Transformations by parameterized t-norms preserving the properties of fuzzy relations. – Comptes Rendus de l'Académie bulgarie des Sciences, Vol. 57, 2004, No. 10, 9-18, ISSN: 1310-1331. Peneva, V., I. Popchev. Aggregation of fuzzy preference relations with different importance. – Comptes Rendus de l'Académie bulgarie des Sciences, Vol. 58, 2005, No. 5, 499-506, ISSN: 1310-1331. Peneva, V., I. Popchev. Weighted transformation in aggregation operators uniting fuzzy relations. – Advanced Studies in Contemporary Mathematics, Vol. 10, 2005, No. 1, 25-44, ISSN: 1229-3067. Peneva, V., I. Popchev. Models for weighted aggregation of fuzzy relations to multicriteria decision making problems. – Cybernetics and Information Technologies, Vol. 6, 2006, No. 3, 3-18, ISSN: 1311-9702. Peneva, V., I. Popchev. Aggregation of fuzzy preference relations by composition. – Comptes Rendus de l'Académie bulgarie des Sciences. 59, No. 4, 2006, 373-380, ISSN: 1310-1331. Peneva, V., I. Popchev. Models of decision making support by multicriteria problems in fuzzy environment. – Advanced Studies in Contemporary Mathematics Vol. 12, 2006, No. 2, 291-308, ISSN: 1229-3067. Peneva, V., I. Popchev. Aggregation of fuzzy preference relations to multicriteria decision making. – Fuzzy Optimization and Decision Making, Vol. 6, 2007, No. 4, 351-365, ISSN: 1568-4539 (print version). ISSN: 1573-2908 (electronic version). DOI 10.1007/s 10700-007-9018-6. Peneva, V., I. Popchev. Aggregation of fuzzy relations with fuzzy weighted coefficients. – Advanced Studies in Contemporary Mathematics, Vol. 15, 2007, No. 1, 121-132, ISSN: 1229-3067. Peneva, V., I.Popchev. Aggregation of fuzzy relations using weighting function. – Comptes Rendus de l'Académie bulgarie des Sciences, Vol. 60, 2007, No. 10, 1047-1052, ISSN: 1310-1331. Peneva, V., I. Popchev. Fuzzy criteria importance with weighting functions. – Comptes Rendus de l'Académie bulgarie des Sciences. Vol. 61, 2008, No. 3, 293-300, ISSN: 1310-1331. Peneva, V., I. Popchev. Fuzzy criteria importance depending on membership degrees of fuzzy relations. - Comptes Rendus de l'Académie bulgarie des Sciences. Vol. 61, 2008, No. 5, 579-584, ISSN: 1310-1331. Popchev, I., P. Georgieva. A fuzzy approach to solving multicriteria investment problems. In:- Innovative Techniques in Instruction Technology, E-Learning, E-Assessment, and Education (Ed. by Magued Iskander), Springer, Science+Business Media B.V., New York, 2008, 427-431, ISBN: 978-1-4020-8738-7. Library of Congress Control Number 2008931889. Peneva, V., I. Popchev. Multicriteria decision making based on fuzzy relations. – Cybernetics and Information Technologies, Vol. 8, 2008, No. 4, 3-12, ISSN: 1311-9702. Angelova, V. Investigation in the Area of Soft Computing. Targeted State of the Art Report. – Cybernetics and Information Technologies, Vol. 9, 2009, No. 1, 18-24, ISSN: 1311-9702. Peneva, V., I. Popchev. Models for fuzzy multicriteria decision making based on fuzzy relations. – Comptes Rendus de l'Académie bulgarie des Sciences, Vol. 62, 2009, No. 5, 551-558, ISSN: 1310-1331. Peneva, V., I. Popchev. Models for decision making by fuzzy relations and fuzzy numbers for criteria evaluations. – Comptes Rendus de l'Académie bulgarie des Sciences, Vol. 62, 2009, No. 10, 1217-1222, ISSN: 1310-1331. Peneva, V., I. Popchev. Multicriteria decision making by fuzzy relations and weighting functions for the criteria. – Cybernetics and Information Technologies, Vol. 9, 2009, No. 4, 58-71, ISSN: 1311-9702. Peneva, V., I. Popchev, Fuzzy multi-criteria decision making algorithms. – Comptes Rendus de l'Académie bulgarie des Sciences, Vol. 63, 2010, No. 7, 979-992, ISSN: 1310-1331. Radeva, I. Strategic Integration with MAP-CLUSTER software system. - Cybernetics and Information Technologies, Vol. 10, No. 2, 2010, pp. 78–93, ISSN: 1311-9702. Ilieva, G. Decision Making Methods in Agent Based Modeling. -In: Proceeding of the Workshop on Applications of Software Agents, 2011, 8-17, Aachen. ISSN: 1613-0073. Ilieva, G. Bidding Strategy Selection via Direct Aggregation of Fuzzy Numbers. Management and Sustainable Development, vol. 33, 2012, issue 2,126-132, ISSN 1311-4506. Ilieva, G. A Fuzzy Approach for Bidding Strategy Selection. - Cybernetics and Information Technologies, Vol. 12, 2012, No. 1., 61-69, Print ISSN: 1311-9702 Online ISSN: 1314-4081. Georgieva, P., I. Popchev. Application of Q-Measure in a Real Time Fuzzy System for Managing Financial Assets. – International Journal of Soft Computing (IJSC), Vol. 3, 2012, No. 4, 21-38. ISSN:2229-6735 [Online]; 2229-7103 [Print]. Georgieva P., I. Popchev. Fuzzy Q-measure Model for Managing Financial Investments. – Comptes Rendus de l’Academie bulgare des Sciences, vol. 66, 2013, №5, 651-658. ISSN 1310-1331. DOI: 10.7546/CR-2013-66-5-13101. Georgieva P., I. Popchev. Cardinality Problem in Portfolio Selection. – Lecture Notes in Computer Science 7824. Adaptive and Natural Computering Algorithms. Proceedings 11th International Conference, ICANNGA 2013, Lausanne, Switzerland, April 4-6, 2013. Springer-Verlag Berlin Heidelberg 2013, 208-217. ISBN 978-3-642-37212-4. Georgieva, P., I. Popchev, S. Stoyanov. A Multi-Step Procedure for Asset Allocation in Case of Limited Resources. – Cybernetics and Information Technologies Vol. 15, No 3, 2015, 41-51, Print ISSN: 1311-9702, Online ISSN: 1314-4081, DOI: 10.1515/cait-2015-0040 Ilieva, G., A. Dimitrov. Inter-criteria Comparison of Bulgarian Construction Companies Using Fuzzy Relations. - International Journal of Engineering Science and Innovative Technologies, Vol. 4, 2015, No. 2, 290-299, ISSN: 2319-5967 Georgieva, P. Applying FSSAM for Currency Rates Forecasting. -In: Transactions on Machine Learning and Artificial Intelligence, Manchester, SSE UK, Volume 4, 2016, No. 3, 30-40. ISSN 2054-7390. Georgieva P. Fuzzy Rule-based Systems for Decision-making. - Engineering Sciences, BAS, Vol. LIII, 2016, No. 1, 5-16, 2016, ISSN 1312-5702 (Print), ISSN: 2603-3542 (online). Georgieva P. A Genetic Fuzzy System for Asset Allocation. – Proceedings 19th International Symposium on Electrical Apparatus and Technologies (SIELA), 2016, 1-6. DOI: 10.1109/SIELA.2016.7543004, IEEE: CFP1163N-CDR, Electronic ISBN: 978-1-4673-9522-9; Print on Demand (PoD) ISBN: 978-1-4673-9523-6 Georgieva P. FSSAM: A Fuzzy Rule-Based System for Financial Decision Making in Real Time. In: Handbook of Fuzzy Sets Comparison - Theory, Algorithms and Applications (Ed.: George A. Papakostas, Anestis G. Hatzimichailidis and Vassilis G. Kaburlasos), Gate to Computer Science and Research Vol. 7, SCIENCE GATE PUBLISHING P.C., 121-148, 2016. ISBN 2241-9055; ISSN 2241-9063. Ilieva, G. TOPSIS Modification with Interval Type-2 Fuzzy Numbers. - Cybernetics and Information Technologies, Vol. 16, 2016, No. 2, 60-68. Print ISSN: 1311-9702 Online ISSN: 1314-4081 doi:10.1515/cait-2016-0020. Ilieva, G. Group Decision Analysis with Interval Type-2 Fuzzy Numbers. - Cybernetics and Information Technologies, Vol. 17, 2017, No. 1, 31-44. Print ISSN: 1311-9702 Online ISSN: 1314-4081 doi: 10.1515/cait-2017-0003 Radeva, I. Multicriteria Fuzzy Sets Application in Economic Clustering Problems. – Cybernetics and Information Technologies, Vol. 17, No. 3, 29-46, 2017. Print ISSN: 1311-9702; Online ISSN: 1314-4081. Georgieva, P. Genetic Fuzzy System for Financial Management. - Cybernetics and Information Technologies, Vol. 18, 2018, No. 2, 20-35. Print ISSN: 1311-9702; Online ISSN: 1314-4081. DOI:10.2478/cait-2018-0025. Georgieva P., Parameters of GFSSAM: Coding the Parameters of a Hybrid Genetic Fuzzy System. - Proceedings of the Seventh International Conference on Telecommunications and Remote Sensing, (ICTRS '18), 85-92, Barcelona, Spain, 2018; ACM New York, NY, USA ©2018, ISBN: 978-1-4503-6580-2, DOI: 10.1145/3278161.3278174. Ilieva, G. Group Decision Analysis Algorithms with EDAS for Interval Fuzzy Sets. - Cybernetics and Information Technologies, Vol. 18, 2018, No. 2, 51-64. Print ISSN: 1311-9702 Online ISSN: 1314-4081 doi:10.2478/cait-2018-0027. Ilieva, G., T. Yankova, S. Klisarova-Belcheva. Decision Analysis with Classic and Fuzzy EDAS Modifications. - Computational and Applied Mathematics, Vol. 37, 2018, Issue 5, 5650-5680, ISSN: 2238-3603 (Print) 1807-0302 (Online). doi:10.1007/s40314-018-0652-0. Ilieva, G. Decision analysis for big data platform selection. - Engineering Sciences, Vol. LVI, 2019, No. 2, p. 5-18. ISSN: 1312-5702 (Print) ISSN 2603-3542 (online) doi: 10.7546/EngSci.LVI.19.02.01 Ilieva, G. Fuzzy Supervised Multi-Period Time Series Forecasting. - Cybernetics and Information Technologies, Vol. 19, 2019, No. 2,74-85 Print ISSN: 1311-9702 Online ISSN: 1314-4081 doi: 10.2478/cait-2019-0016. Georgieva, P., R. Dolchinkov. Fuzzy models for managing a micro grid PV system. – Proceedings 42nd International Convention on Information and Communication Technology, Electronics and Microelectronics, (MIPRO 2019), 1291-1255, 2019. ISSN: 1847-3946. Correspondence Address: Acad. Ivan Popchev Bulgarian Academy of Sciences Akad. Georgi Bonchev Blvd., bl. 2 1113 Sofia, Bulgaria 2