On fuzzy mathematical modeling in the analysis of distribution of medicines for controlling communicable diseases based on optimization techniques
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https://doi.org/10.26637/MJM0704/0009Abstract
In this paper, we propose the bi–objective fuzzy mathematical model based on optimization technique in order to distribute the available medicines of various diseases to the disease population for minimizing human productivity loss. This paper also aims to minimize the total treatment cost and dosage level of medicines by its effective distribution. The main aim of introducing this model is to minimize the human productivity loss by the effective distribution of various types of available medicines to the disease population in a certain region. Moreover, the paper proposes the ranking index based on distance between new reference point of trapezoid to original point for solving the fuzzy optimization problem arrived from the proposed model by converting the fuzzy problems into crisp one.
Keywords:
Multi Objective linear model, fuzzy linear programming problem, communicable diseases, fuzzy numberMathematics Subject Classification:
Mathematics- Pages: 669-675
- Date Published: 01-10-2019
- Vol. 7 No. 04 (2019): Malaya Journal of Matematik (MJM)
Ahmet F. Ozok, Fuzzy modelling and efficiency in health care systems, IOS Press, 41(2012) 1797-1800.
Gü rsel, G., Healthcare, uncertainty, and fuzzy logic, Digit Med, 2(2016), 101-12.
Mayilvaganan, M. and Rajeswari, K. Health Care Analysis Based On Fuzzy Logic Control System, International Journal of Computer Science Trends and Technology $(I J C S T), 2(4)(2014)$.
Sivakumar, G. and Hari Ganesh, A., Application of Fuzzy Multi Objective Linear Programming in the Efficient Treatment of Communicable Diseases, Global Journal of Pure and Applied Mathematics, 11(3)(2015), 1363-1377.
Suman Sankar Bhunia, Sourav Kumar Dhar and Nandini Mukherjee, iHealth: A Fuzzy approach for provisioning Intelligent Health-care system in Smart City, IEEE, (2014) 187-193.
Thanh Nguyen, Abbas Khosravi, Douglas Creighton, Saeid Nahavandi, Classification of healthcare data using genetic fuzzy logic system and wavelets, Expert Systems with Applications, 42(4)(2015), 2184-2197.
Venkatesh, A. and Sivakumar, G., On Fuzzy Optimization Modeling in Healthcare Analysis Based on Linear Programming Problem, International Journal of Current Research and Modern Education, 2(1)(2017), 124-131.
Venkatesh, A. and Sivakumar, G., On Single Objective Linear Model in Controlling Communicable Diseases Based on Fuzzy Linear Programming Problem, International Journal of Applied and Advanced Scientific Research, 2(2)(2017), 211-218.
Venkatesh, A. and Sivakumar, G. and Rameshbabu, S., Fuzzy Optimization Modeling in the Analysis of Human Health Care Based on Linear Programming Problem, International Journal of Applied and Advanced Scientific Research, 2(2)(2017), 82-90.
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