## Fuzzy Systems |

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### Contents

Series Preface | 1 |

Concepts Decision and Vagueness | 16 |

Fuzzy Sets | 31 |

The Categorical Approach | 50 |

Synthesis Processes | 71 |

102 | |

### Common terms and phrases

abstract algebraic application approach arithmomorphic behaviour bush C-sets Cartesian product category theory characteristic function classical complete lattice complex systems conflict resolution constraints criteria criterion Cybernetics decision decision-making defined denote described descriptor assignment diagram dialectical dynamic model dynamic system elements equation excluded middle exists Fc(X formulation framework functor fuzzy relation fuzzy set theory fuzzy subsets fuzzy systems theory Heyting algebra hierarchical homeostasis human information systems input language Let us consider linear programming problem Lotfi Zadeh management science mapping mathematical means membership monomorphism objects operations organization pair partially ordered partially ordered set planning precisely properties pullback relationship representation represented retrieval situations social soft sciences stable structural stability subobject subobject classifier synthesis terminal object theorem theory of fuzzy tion topos trajectory tree unique morphism unit interval vague concepts values variables