Affiliations: [a] Department of Mathematics, Asansol Engineering College, Vivekananda Sarani, Asansol, West Bengal, India
| [b] Deparment of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, P.O.-Botanic Garden, Howrah, West Bengal, India
Correspondence:
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Corresponding author. Samir Dey, Department of Mathematics,Asansol Engineering College, Vivekananda Sarani, Asaansol-713305,West Bengal, India. Tel.: +341 225 3057; Fax: +341 225 6334; E-mail: samir_besus@rediffmail.com.
Abstract: Real world engineering design problems are usually characterized by the presence of many conflicting objectives. In this paper, we will make an approach to solve multi-objective structural model using parameterized t-norms based on fuzzy optimization programming technique. Here, binary t-norms are expressed in extended n-ary t-norms and their basic properties and some special cases have been discussed. In this structural model formulation, the objective functions are the weight of the truss and the deflection of loaded joint; the design variables are the cross-sections of the truss members; the constraints are the stresses in members. A classical truss optimization example is presented here to demonstrate the efficiency of our proposed optimization approach. The test problem includes a three-bar planar truss subjected to a single load condition. This approximation approach is used to solve this multi-objective structural optimization model. The model is illustrated with numerical examples.
