Analysis of Digital Competencies of 21st Century Teachers of Mathematics Education by Pentagonal Fuzzy Number and Some of Its Arithmetic Operations

  • Rahul Kar Springdale High School, Kalyani, West Bengal
  • Ashok Kumar Shaw Regent Education and Research Foundation, Kolkata
DOI: https://doi.org/10.37303/jelmar.v2i1.39
Keywords: digital competencies, pentagonal fuzzy number, reliability, fault tree

Abstract

Digital competencies is a collection of digital skills, categorized into five main areas of focus. They are designed as a tool for students to use to reflect on the digital skills and critical perspectives they develop while in school or college, in curricular and co-curricular experiences. The factors in digital competencies are digital survival skills, digital communication, data management and preservation, data analysis and presentation, critical making, design and development. In this paper we use pentagonal fuzzy number to find out the failure of digital competencies of 21st century teacher in mathematics education on the basis of the above criteria.

References

Alefeld,G.,and Herzberger,J.,. (1983) .Introduction to Interval Computation. Academic Press: New York

Cheng.C.H. and Mon. D.L. (1993) Fuzzy System Reliability Analysis By Interval Of Confidence, Fuzzy Sets And Systems, 56, 29-35.

Cai.K.Y., Wen.C.Y. and Zhang. M.L. (1991). Fuzzy Reliability Modeling of Gracefully Degradable Computing Systems, Reliability Engineering And System Safety, 33 141-157.

Cai. K.Y., Wen. C.Y. and Zhang. M.L.,. (1991). Survival Index For Ccns: A Measure Of Fuzzy Reliability Computing Systems, Reliability Engineering And System Safety, 33, 141-157.

Cai. K.Y. and Wen. C.Y.(1990). Streeting-Lighting Lamps Replacement: A Fuzzy Viewpoint, Fuzzy Sets And System, 37, 161-172.

Chen. S.M. and Jong. W.T.,. (1996). Analyzing Fuzzy System Reliability Using Interval Of Confidence. International Journal of Information Management and Engineering, 2,16-23.

Chen, S.H., . (1985). Operations On Fuzzy Numbers With Function Principle. Tamkang Journal of Management Sciences, 6(1), pp 13 – 26.

Dubois, D., and H. Prade, H. (1978). Operations of Fuzzy Number’s. Internat. J. Systems Sci. 9(6) 613-626.

Dubois, D., and H. Prade, H. (1980). Fuzzy Sets And Systems, Theory And Applications Academic Press: New York,

Dwyer, P.S. (1951). Linear Computation. New York

Kaufmann, A., and Gupta, M.M. (1985). Introduction to Fuzzy Arithmetic. Van Nostrand Reinhold: New York,

Lodwick, W.A., and Jamison, K.D. (1997). Interval Methods And Fuzzy Optimization. International Journal of Uncertainty, Fuzziness and Knowledge- Based Systems, 5 239-249.

Moore, R.E. (1979). Methods and Applications of Interval Analysis. SIAM: Philadelphia

Mahapatra. G.S. and Roy. T.K. (2009). Reliability Evaluation using triangular intuitionistic Fuzzy Numbers Arithemmetic Operations. Proceedings of World Academy of Science, Engineering and Technology, 38587-595

Mon. D.L. and Cheng. C.H. (1994). Fuzzy System Reliability Analysis For Components With Different Membership Functions. Fuzzy Sets and Systems. 64 145-157.

M. Deldago, J.L. Verdegay, M.A. Vila. (1989). A General Model for Fuzzy Linear Programming. Fuzzy Set and System. 29 21-29.

Shaw, A.K. and Roy, T.K. (2015). Fuzzy Reliability Optimization Based On Fuzzy Geometric Programming Method Using Different Operators. The Journal of Fuzzy Mathematics (USA) Vol.23, No.1, pp.79-88,

Kar, R., & Shaw, A. (2020). Analysis The Barrier of E-learning in Mathematics Using Type-2 Fuzzy Data. Journal of Education and Learning Mathematics Research (JELMaR), 1(2), 58-73. https://doi.org/10.37303/jelmar.v1i2.31

Kar, R., & Shaw, A. (2020), A new approach to find optimal solution of assignment problem using Hungarian method by triangular fuzzy data; MATHEMATICS IN ENGINEERING, SCIENCE AND AEROSPACE MESA, Vol. 11, No. 4, pp. 1059-1074, 2020

Kar. R, Shaw, A.K;. (2019) ‘Some Arithmetic Operations On Triangular Fuzzy Numbers And Its Application In Solving Linear Programming Problem By Dual-Simplex Algorithm’, Wjert, Vol. 5, Issue 6, 397-404.

Kar. R, Shaw, A.K. (2018). Some Arithmetic Operations On Trapezoidal Fuzzy Numbers And Its Application In Solving Linear Programming Problem By Simplex Algorithm. Intl. J. Bioinformatics and Biological Sci.: V. 6 n.2, p. 77-86.

Zadeh, L.A.,. (1975). The Concept of A Linguistic Variable And Its Applications To Approximate Reasoning – Parts I, II And III”. Inform. Sci. 8199-249; 81975 301-357; 9(1976) 43-80.

Zadeh, L.A.,. (1965). Fuzzy sets, Information and Control, No.8, pp. 339-353

Published
2021-05-28
How to Cite
Kar, R., & Shaw, A. (2021). Analysis of Digital Competencies of 21st Century Teachers of Mathematics Education by Pentagonal Fuzzy Number and Some of Its Arithmetic Operations. Journal of Education and Learning Mathematics Research (JELMaR), 2(1), 51-58. https://doi.org/10.37303/jelmar.v2i1.39
Issue
Vol 2 No 1 (2021): Mei 2021
Section
Articles

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