Research On Fuzzy Bias Static Game Based On Structured Element Theory

Uses the structured element theory to research three kinds of fuzzy bias staticgame. Aim at the bias static game with fuzzy profit, defines the multiple fuzzy valuefunction, and uses structured element to express it; under the mixed strategy, defines thebias Nash equilibrium with fuzzy profit and proofs its existence; solves the bias Nashequilibrium with fuzzy profit by transforming it into a classical bias static game byusing the structured element theory. Aim at the fuzzy probability in player type space,defines the triangular fuzzy probability, uses the maximum deviation to structure theoptimization model about the triangular fuzzy probability in the player type space. Insolving it, transforms it into a classical optimization model with the help of structuredelement theory. Aim at the probability in fuzzy type space, on the basis of fuzzy eventsand fuzzy probability, and uses the structured element theory to solve the probability ofthe fuzzy continuous variable. The application examples illustrate the methods arescientific, effective and convenient.