FGP in Multi-objective Non-Linear Fractional Optimization Model including Triangular Fuzzy Numbers
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 26 August 2019. | Revised Manuscript received on 04 September 2019. | Manuscript published on 30 September 2019. | PP: 2122-2130 | Volume-8 Issue-11, September 2019. | Retrieval Number: K20110981119/2019©BEIESP | DOI: 10.35940/ijitee.K2011.0981119
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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 motivation behind this paper is to propose method to obtain compromized solution of Non-Linear fractional Optimization Model. In this paper, Multi-level multi-objective fully quadratic fractional optimization model (ML-MOFQFOM) is studied in which various objective functions are involved, generally have conflicting nature. FGP approach is being used to solve ML-MOFQFOM involving triangular fuzzy numbers. This paper deals with the ML-MOFQFOM in which fuzzy model converted into deterministic form through the help of α -cuts where α is the combined choice of all objective functions. An algorithm and examples are also presented to validate the proposed method.
Keywords: α-Level set., FGP, Fully Quadratic Fractional Programming, Multi-level Multi-objective programming,
Scope of the Article: Fuzzy Logics