We derive a closed form description of the convex hull of mixed-integer bilinear covering set with bounds on the integer variables. This convex hull description is determined by considering some orthogonal disjunctive sets defined in a certain way. This description does not introduce any new variables, but consists of exponentially many inequalities. An extended formulation with a few extra variables and much smaller number of constraints is presented. We also derive a linear time separation algorithm for finding the facet defining inequalities of this convex hull. We study the effectiveness of the new inequalities and the extended formulation using some examples.
In this paper, the adjacency sequence of intuitionistic fuzzy graph is defined. Also the degree of an edge in truncations of intuitionistic fuzzy graphs are obtained and edge regular properties of truncations of intuitionistic fuzzy graphs are discussed.
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