Mathematical Models in Terms of Balanced Signed Fuzzy Graphs with Generalized Modus Ponens Method

Starting from an input fuzzy set and an IF-THEN rule, implementations of the generalized modus ponens in a fuzzy set theoretical frame work allow the derivation of an output fuzzy set. The main goal of this work is how the generalized modus ponens method, can be used in the mathematical models in terms of balanced signed fuzzy graphs and also we define generalized modus ponens, signed fuzzy graph, signed degree of fuzzy graph.