solving a tri-objective convergent product network using the steiner tree

considering convergent product as an important manufacturing technology for digital products, we integrate functions and sub-functions using a comprehensive fuzzy mathematical optimization process. to form the convergent product, a web-based fuzzy network is considered in which a collection of base functions and sub-functions configure the nodes and each arc in the network is to be a link between two nodes. the aim is to find an optimal tree of functionalities in the network adding value to the product in the web environment. first, a purification process is performed in the product network to assign the links among bases and sub-functions. then, numerical values as benefits and costs are determined for the arc and the node, respectively. also, a fuzzy customers’ value corresponding to the arcs is considered. next, the steiner tree methodology is adapted to a multi-objective model of the network to find the optimal tree. a fuzzy multi-objective solution methodology is developed for solving the proposed problem. finally, an example is worked out to illustrate the proposed approach.