In the competitive situation, different methods of Multi-criteria decision support have been used to help decision maker select better alternatives for various decision problems. To an economic consideration, there are several criteria needed to be taken into account the temperatures in different cities in the World. According to that base we recorded the temperature in the different months in a city in the year 2018. In this paper, we presented the warmth temperature in the city and crisp temperature of the city by account of the decision making processes. To solve complex real-world decision making problems, multi-attribute decision making (MADM) methods have been developed. The TOPSIS is among the most widely used methods at present which provides valuable outputs in different application areas. With the above hypotheses, calculations involving Eigen vector, square rooting and summations are used for obtaining a relative closeness value of the criteria tested. TOPSIS ranks these values of relative closeness of the whole system by assigning the highest value of the relative closeness to the best attributes in the system. A numerical example given to illustrate the solution process of the suggested approach.

Crisp, DM, MADM, MCDM, TOPSIS, Warmth

[1] M. R. Kirby. A Methodology for Technology Identification, Evaluation, and Selection in Conceptual and Preliminary Aircraft Design. PhD thesis, Aerospace Systems Design Laboratory, School of Aerospace Engineering, Georgia Institute of Technology, 2001.
[2] Y. Li. An Intelligent Knowledge-based Multiple Criteria Decision Making Advisor for Systems Design. PhD thesis, Aerospace Systems Design Laboratory, School of Aerospace Engineering, Georgia Institute of Technology, 2007.
[3] C.L. Hwang, K. Yoon, “Multiple attribute decision making: Methods and Applications”, Springer-Verlag , 1981.
[4] C.T. Chen, “Extensions of the TOPSIS for group decision-making under fuzzy environment”, Fuzzy Sets and Systems, Vol. 114, pp.01-09, 2010.
[5] D.L. Olson, “Comparison of Weights in TOPSIS Models”, Mathematical and Computer Modelling, Vol. 40, pp.721-727, 2004.
[6] I. Ertugrul, N. Karakasoglu, “Performance evaluation of Turkish cement firms with fuzzy analytic hierarchy process and TOPSIS methods”, Expert Systems with Applications, Vol. 36, pp.702-715, 2009.
[7] M. Ehrgott, J. Figueira, S. Greco, “Trends in Multiple Criteria Decision Analysis”, Springer, 2010.
[8] V. Belton, T. J. Stewart, Multiple Criteria Decision Analysis - An Integrated Approach, Kluwer Academic Publishers, 2002.
[9] J.-W. Wang, C.-H. Cheng, H.K. Cheng, “Fuzzy hierarchical TOPSIS for supplier selection”, Applied Soft Computing, Vol. 9, Issue 1, pp.377-386, 2009.
[10] L. Ferreira, D. Borenstein, M. B. Righi, A. T. de Almeida Filho, “A fuzzy hybrid integrated framework for portfolio optimization in private banking”, Expert Systems with Applications, Vol. 92, pp. 350–362, 2018.
[11] M. S. García-Cascales, M. T. Lamata, “On rank reversal and TOPSIS method”, Mathematical and Computer Modelling, Vol. 56(5–6), pp. 123–132, 2012.
[12] M. A. Senouci, M. S. Mushtaq, S. Hoceini, A. Mellouk, “TOPSIS-based dynamic approach for mobile network interface selection”, Computer Networks, Vol. 107, pp. 304–314, 2016.
[13] S. Mufazzal, S. Muzakkir, “A new multi-criterion decision-making (MCDM) method based on proximity indexed value for minimizing rank reversals”, Computers & Industrial Engineering, Vol. 119, pp. 427–438, 2018.
[14] E. Roszkowska, D. Kacprzak, “The fuzzy saw and fuzzy TOPSIS procedures based on ordered fuzzy numbers”, Information Sciences, Vol. 369, pp. 564–584, 2016.
[15] E. Cables, M. Lamata, J. Verdegay, “Rim-reference ideal method in multicriteria decision-making”, Information Sciences, pp. 1–10, 2016.
[16] M. Behzadian, S. Khanmohammadi Otaghsara, M. Yazdani, J. Ignatius, “A state-of the-art survey of TOPSIS applications”, Expert Systems with Applications, Vol. 39(17), pp. 13051–13069, 2012.
[17] F. Herrera, E. Herrera-Viedma, J.L. Verdegay, “A model of consensus in group decision making under linguistic assessments”, Fuzzy Sets and Systems, Vol. 78, pp. 73-87, 1996.
[18] J. Wang, S.Y. Liu, J. Zhang, “An extension of TOPSIS for MCDM based on vague set theory”, Journal of System Science and System Engineering, Vol. 14, pp. 73-84, 2005.
[19] M. Delgado, J.L. Verdegay, M.A. Vila, “Linguistic decision-making models”, International journal of Intelligent System, Vol. 7, Issue 5, pp. 479-492, 1992.
[20] P.K. Parida, S.K. Sahoo, B. Behera, “Multi-criteria decision making models using fuzzy TOPSIS technique”, Journal of Altra-Scientist of Physical Sciences, Vol. 28, Issue 5, pp. 286-293, 2016.
[21] P.K. Parida, D. Mishra, B. Behera, “Some generalised results on TOPSIS method involving Multi-attributes decision making problem”, International Journal of Computer Sciences and Engineering, Vol. 6, Issue 6, pp. 147-152, 2018.
[22] R.A. Krohling, G.C.P. Andre, “A-TOPSIS-An approach based on TOPSIS for ranking evolutionary algorithms”, Procedia Computer Science, Vol. 55, pp. 308-317, 2015.
[23] T.C. Chu, Y.C. Lin, “Improved extensions of the TOPSIS for group decision making under fuzzy environment”, Journal of Information and Optimization Sciences, Vol. 23, pp. 273-286, 2013.