New Class of Multiobjective Fractional Symmetric Programming with Cone Functions Under Generalized Assumptions

Jyoti, Ramesh Kumar, Chetan Swarup (), Vishnu Narayan Mishra and Ramu Dubey ()
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Jyoti: J C Bose University of Science and Technology, YMCA
Ramesh Kumar: J C Bose University of Science and Technology, YMCA
Chetan Swarup: College of Science and Theoretical Studies, Saudi Electronic University
Vishnu Narayan Mishra: Indira Gandhi National Tribal University
Ramu Dubey: J C Bose University of Science and Technology, YMCA

Chapter Chapter 27 in Applications of Operational Research in Business and Industries, 2023, pp 413-427 from Springer

Abstract: Abstract In this chapter, a pair of nondifferentiable multiobjective symmetric fractional duality models with cone function are formulated in a vector optimization problem, where each component of the objective function contains support function of a compact convex set. The K- $$(C, \rho )$$ ( C , ρ ) -convexity and K- $$(C, \rho )$$ ( C , ρ ) -quasiconvexity functions are defined, and also, we constructed concrete numerical examples for existing such type of function. The duality results are established using these aforesaid assumptions.

Keywords: Symmetric duality; Nondifferentiable; Multiobjective fractional programming; Support function; Efficient solution (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnopch:978-981-19-8012-1_27

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DOI: 10.1007/978-981-19-8012-1_27

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