Multiobjective Quadratic Fractional Programming using Iterative Parametric Function
Deepak Gupta1, Suchet Kumar2, Vandana Goyal3
1Deepak Gupta, Maharishi Markandeshwar (Deemed to be University), Mullana-Ambala, India.
2Dr. Suchet Kumar, Govt. Sec. Smart School, Fatta Maloka (Mansa), Education Department (Punjab), India.
3Vandana Goyal, Maharishi Markandeshwar (Deemed to be University), Mullana-Ambala, India.
Manuscript received on 21 August 2019. | Revised Manuscript received on 09 September 2019. | Manuscript published on 30 September 2019. | PP: 2116-2121 | Volume-8 Issue-11, September 2019. | Retrieval Number: K20100981119/2019©BEIESP | DOI: 10.35940/ijitee.K2010.0981119
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: The paper proposed the Model of multiobjective quadratic fractional optimisation problem with a set of quadratic constraints and a methodology for obtaining a set of solutions based on the approach of using iterative parametric functions. Firstly, each fractional objective function is transformed into non-fractional parametric objective function by assigning a vector of parameters to each objective function. In this approach, the Decision Maker(DM) predecides the desired tolerance levels of the objective functions in the form of termination constants. Then, by using ε-constraint method, a set of efficient solutions is obtained and termination conditions are checked for each parametric objective function. Also, a comparative study of the proposed method and fuzzy approach is given to reveal the validity of the method. A numerical for Multiobjective quadratic fractional programming Model (MOQFPM) is given in the end to check the applicability of the approach.
Keywords: Multiobjective quadratic fractional programming Model, parametric objective function, vector of parameters, ε-constraint method.
Scope of the Article: Logic, Functional programming and Microcontrollers for IoT