Probabilistic Solution of Zadeh’s Test Problems
Department or Administrative Unit
Zadeh posed several Computing with Words (CWW) test problems such as: “What is the probability that John is short?” These problems assume a given piece of information in the form of membership functions for linguistic terms including tall, short, young, middle-aged, and the probability density functions of age and height. This paper proposes a solution that interprets Zadeh’s solution for these problems as a solution in terms of probability spaces as defined in the probability theory. This paper also discusses methodological issues of relations between concepts of probability and fuzzy sets.
Kovalerchuk B. (2014) Probabilistic Solution of Zadeh’s Test Problems. In: Laurent A., Strauss O., Bouchon-Meunier B., Yager R.R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2014. Communications in Computer and Information Science, vol 443. Springer, Cham. https://doi.org/10.1007/978-3-319-08855-6_54
Information Processing and Management of Uncertainty in Knowledge-Based Systems
© Springer International Publishing Switzerland 2014