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Real world engineering problems are usually designed by the presence of many conflicting objectives. In this paper we develop an approach to solve multi-objective welded beam design using t-norms and tco-norms based intuitionistic fuzzy optimization technique. Here binary t-norms, t-co-norms are extended in the form of n-ary t-norms and t-co-norms and their basic properties are discussed with some special cases. In this paper we have considered optimization problem of minimization of the cost of welding and deflection at the tip of a welded steel beam, while the maximum shear stress in the weld group, maximum bending stress in the beam, and buckling load of the beam have been considered as constraints. The problem of designing an optimal welded beam consists of dimensioning a welded steel beam and the welding length so as to minimize its cost, subject to the constraints as stated above. This classical welded beam optimization example is presented here in to demonstrate the efficiency of our proposed optimization approach. Numerical example is given here to illustrate this structural model through this approximation method. Keyword: Intuitionistic Fuzzy Set, t-norms,t-co-norms, Multi-Objective Intuitionistic Optimization, Welded Beam Optimization. 550 Mridula Sarkar and Tapan Kumar Roy

Multi-Objective Welded Beam Design Optimization using T-Norm and T-Co-norm based Intuitionistic Fuzzy Optimization Technique