Fuzzy sets as a basis for a theory of possibility.

*(English)*Zbl 0377.04002##### MSC:

03E72 | Theory of fuzzy sets, etc. |

03A05 | Philosophical and critical aspects of logic and foundations |

94D05 | Fuzzy sets and logic (in connection with information, communication, or circuits theory) |

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##### References:

[1] | Gaines, B.R; Kohout, L.J, Possible automata, (), 183-196 |

[2] | Hughes, G.E; Cresswell, M.J, An introduction to modal logic, (1968), Methuen London · Zbl 0205.00503 |

[3] | Kaufmann, A, Valuation and probabilization, () |

[4] | Zadeh, L.A, Calculus of fuzzy restrictions, (), 1-39 · Zbl 0327.02018 |

[5] | Zadeh, L.A; Zadeh, L.A; Zadeh, L.A, The concept of a linguistic variable and its application to approximate reasoning, part III, Information sci., Information sci., Information sci., 9, 43-80, (1975) · Zbl 0404.68075 |

[6] | Bellman, R.E; Zadeh, L.A; Bellman, R.E; Zadeh, L.A, Local and fuzzy logics, () · Zbl 0382.03017 |

[7] | DeFinetti, B, Probability theory, (1974), Wiley New York |

[8] | Fine, T, Theories of probability, (1973), Academic Press New York |

[9] | Dempster, A, Upper and lower probabilities induced by multi-valued mapping, Ann. math. statist., 38, 325-339, (1967) · Zbl 0168.17501 |

[10] | Shafer, G, A mathematical theory of evidence, (1976), Princeton University Press Princeton, NJ · Zbl 0359.62002 |

[11] | Shortliffe, E.H, A model of inexact reasoning in medicine, Math. biosciences, 23, 351-379, (1975) |

[12] | Duda, R.O; Hart, P.F; Nilsson, N.J, Subjective Bayesian methods for rule-based inference systems, Stanford research institute tech. note 124, (1976), Stanford, CA |

[13] | Wenstop, F, Deductive verbal models of organization, Int. J. man-machine studies, 8, 293-311, (1976) · Zbl 0361.68139 |

[14] | Zadeh, L.A, Theory of fuzzy sets, () · Zbl 0377.04002 |

[15] | Zadeh, L.A, A fuzzy-set-theoretic interpretation of linguistic hedges, J. cybernet., 2, 4-34, (1972) |

[16] | Lakoff, G; Lakoff, G, Hedges: a study in meaning criteria and the logic of fuzzy concepts, (), 2, 221-271, (1973), also paper presented at · Zbl 0209.30101 |

[17] | Hersch, H.M; Caramazza, A, A fuzzy set approach to modifiers and vagueness in natural languages, (1975), Dept. of Psych., The Johns Hopkins University Baltimore, MD |

[18] | MacVicar-Whelan, P.J, Fuzzy sets, the concept of height and the hedge very, () · Zbl 0342.68057 |

[19] | Zadeh, L.A, Probability measures of fuzzy events, J. math. anal. appl., 23, 421-427, (1968) · Zbl 0174.49002 |

[20] | Sugeno, M, Theory of fuzzy integrals and its applications, () · Zbl 0316.60005 |

[21] | Terano, T; Sugeno, M, Conditional fuzzy measures and their applications, (), 151-170 · Zbl 0316.60005 |

[22] | Nahmias, S; Nahmias, S, Fuzzy variables, () · Zbl 0383.03038 |

[23] | Zadeh, L.A, Similarity relations and fuzzy orderings, Information sci., 3, 177-200, (1971) · Zbl 0218.02058 |

[24] | Rödder, W, On ‘and’ and ‘or’ connectives in fuzzy set theory, () · Zbl 0939.68854 |

[25] | () |

[26] | Mamdani, E, Application of fuzzy logic to approximate reasoning using linguistic synthesis, (), 196-202 |

[27] | Nalimov, V.V, Probabilistic model of language, (1974), Moscow State University Moscow · Zbl 0317.02003 |

[28] | Goguen, J.A, Concept representation in natural and artificial languages: axioms, extensions and applications for fuzzy sets, Int. J. man-machine studies, 6, 513-561, (1974) · Zbl 0321.68055 |

[29] | Negoita, C.V; Ralescu, D.A, Applications of fuzzy sets to systems analysis, (1975), Birkhauser Stuttgart · Zbl 0326.94002 |

[30] | Zadeh, L.A, PRUF-A meaning representation language for natural languages, () · Zbl 0406.68063 |

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