From Fuzzy to Mobile Fuzzy

Authors

  • Olga Kosheleva University of Texas at El Paso, USA
  • Vladik Kreinovich University of Texas at El Paso, USA
  • Victor L. Timchenko Admiral Makarov National University of Shipbuilding, Ukraine
  • Yuriy P. Kondratenko Petro Mohyla Black Sea National University and Institute of Artificial Intelligence Problems, Ukraine

DOI:

https://doi.org/10.13052/jmm1550-4646.2035

Keywords:

fuzzy computations, mobile computing, optical computing

Abstract

The main limitation of mobile computing in comparison with regular computing is the need to make sure that the battery lasts as long as possible – and thus, the number of computational steps should be as small as possible. In this paper, we analyze how this affects fuzzy computations. We show that the need for the fastest computations leads to triangular membership functions and simplest “and”- and “or”-operations: min and max. It also leads to the need to limit ourselves to a few-bit description of fuzzy degrees – which leads to 3-bit descriptions similar to optical implementation of fuzzy computing.

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Author Biographies

Olga Kosheleva, University of Texas at El Paso, USA

Olga Kosheleva is Co-Chair of Department of Teacher Education and Director of STEM Education Division at the University of Texas at El Paso. Her areas of expertise are mathematics education – including teacher preparation and curriculum development, with focus on Science, Technology, Engineering and Mathematics (STEM) integration – and applied mathematics. She has published a book – on the use of interval and fuzzy methods in education, 1 edited book, more than 100 book chapters, more than 300 journal papers, and more than 250 papers in peer-refereed conference proceedings. She has been elected member of Board of Governors of North American Fuzzy Information Processing Society. She is Past President of El Paso Chapter of Sigma Xi, Interdisciplinary Research Society.

Vladik Kreinovich, University of Texas at El Paso, USA

Vladik Kreinovich is Professor of Computer Science at the University of Texas at El Paso. His main interests are representation and processing of uncertainty, especially interval computations and intelligent control. He has published 13 books, 44 edited books, and more than 2,000 papers.

Vladik is President-Elect of the International Fuzzy Systems Association (IFSA), Secretary of the IEEE Systems, Man, and Cybernetics Society, Fellow of International Fuzzy Systems Association (IFSA), Fellow of Mexican Society for Artificial Intelligence (SMIA), Fellow of the Russian Association for Fuzzy Systems and Soft Computing.

Victor L. Timchenko, Admiral Makarov National University of Shipbuilding, Ukraine

Victor Timchenko received the master’s degree in Electrical Engineering from Admiral Makarov National University of Shipbuilding in 1982, and the philosophy of doctorate degree in Design of Ships from National University of Shipbuilding named Admiral Makarov in 1988, and of doctor of science degree in Automation Control from Odessa National Polytechnic University in 2013, respectively. He is currently working as an Professor at the Department of Computer Engineering, Automation and Electrical Institute, National University of Shipbuilding. His research areas include robust optimal control systems, optical architecture and computing, and decision support systems.

Yuriy P. Kondratenko, Petro Mohyla Black Sea National University and Institute of Artificial Intelligence Problems, Ukraine

Yuriy Kondratenko is a Doctor of Science, Professor, Honour Inventor of Ukraine (2008), Corr. Academician of Royal Academy of Doctors (Barcelona, Spain), Head of the Department of Intelligent Information Systems at Petro Mohyla Black Sea National University (PMBSNU), Ukraine. He has received (a) a Ph.D. (1983) and Dr.Sc. (1994) in Elements and Devices of Computer and Control Systems from Odessa National Polytechnic University, (b) several international grants and scholarships for conducting research at Institute of Automation of Chongqing University, P.R.China (1988–1989), Ruhr-University Bochum, Germany (2000, 2010), Nazareth College and Cleveland State University, USA (2003), (c) Fulbright Scholarship for researching in USA (2015/2016) at the Dept. of Electrical Engineering and Computer Science in Cleveland State University. Research interests include robotics, automation, sensors and control systems, intelligent decision support systems, and fuzzy logic.

References

R. Belohlavek, J. W. Dauben, and G. J. Klir, Fuzzy Logic and Mathematics: A Historical Perspective, Oxford University Press, New York, 2017.

B. Debaillie, F. Brunier, D. Morche, E. Isa, and J. Craninckx (eds.), Technologies Enabling Future Mobile Connectivity and Sensing, River Publishers, Aalborg, Nordjylland, Denmark, 2024.

S. Kharola, M. Ram, S. K. Mangla, and Y. Kazancoglu (eds.), Advances in Soft Computing Applications, River Publishers, Aalborg, Nordjylland, Denmark, 2023.

G. Klir and B. Yuan, Fuzzy Sets and Fuzzy Logic, Prentice Hall, Upper Saddle River, New Jersey, 1995.

Y. Kondratenko, O. Gerasin, O. Kozlov, A. Topalov, and B. Kilimanov, “Inspection mobile robot’s control system with remote IoT-based data transmission”, Journal of Mobile Multimedia, 2021, Vol. 17, No. 4. pp. 499–522, DOI: 10.13052/jmm1550-4646.1742.

O. Kozlov, Y. Kondratenko, O. Skakodub, O. Gerasin, and A. Topalov, “Swarm optimization of fuzzy systems for mobile robots with remote control”, Journal of Mobile Multimedia, 2023, Vol. 19, No. 3, pp. 839–876.

J. M. Mendel, Uncertain Rule-Based Fuzzy Systems: Introduction and New Directions, Springer, Cham, Switzerland, 2017.

G. A. Miller, “The magical number seven plus or minus two: some limits on our capacity for processing information”, Psychological Review, 1956, Vol. 63, No. 2, pp. 81–97.

H. T. Nguyen, C. L. Walker, and E. A. Walker, A First Course in Fuzzy Logic, Chapman and Hall/CRC, Boca Raton, Florida, 2019.

V. Novák, I. Perfilieva, and J. Močkoř, Mathematical Principles of Fuzzy Logic, Kluwer, Boston, Dordrecht, 1999.

S. K. Reed, Cognition: Theories and Application, SAGE Publications, Thousand Oaks, California, 2022.

M. Tetyana, Y. Kondratenko, I. Sidenko, and G. Kondratenko, “Computer vision mobile system for education using augmented reality technology”, Journal of Mobile Multimedia, 2021, Vol. 17, No. 4. pp. 555–576, DOI: 10.13052/jmm1550-4646.1744.

V. Timchenko, Y. Kondratenko, and V. Kreinovich, “Efficient optical approach to fuzzy data processing based on colors and light filter”, International Journal of Problems of Control and Informatics, 2022, Vol. 52, No. 4.

V. Timchenko, Y. Kondratenko, and V. Kreinovich, “Decision support system for the safety of ship navigation based on optical color logic gates”, Proceedings of the IX International Conference “Information Technology and Implementation IT&I-2022, Kyiv, Ukraine, November 30 – December 2, 2022.

V. Timchenko, Y. Kondratenko, and V. Kreinovich, “Implementation of optical logic gates based on color filters”, Proceedings of the 6th International Conference on Computer Science, Engineering and Education Applications ICCSEEA 2023, Warsaw, Poland, March 17–19, 2023.

L. A. Zadeh, “Fuzzy sets”, Information and Control, 1965, Vol. 8, pp. 338–353.

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Published

2024-05-06

How to Cite

Kosheleva, O., Kreinovich, V., Timchenko, V. L., & Kondratenko, Y. P. (2024). From Fuzzy to Mobile Fuzzy. Journal of Mobile Multimedia, 20(03), 651–664. https://doi.org/10.13052/jmm1550-4646.2035

Issue

2024: Vol 20 Iss 3

Section

Control and Decision-making Systems with Mobile Applications