{"product_id":"fuzzy-probabilities-von-james-j-buckley","title":"Fuzzy Probabilities","description":"In probability and statistics we often have to estimate probabilities and parameters in probability distributions using a random sample. Instead of using a point estimate calculated from the data we propose using fuzzy numbers which are constructed from a set of confidence intervals. In probability calculations we apply constrained fuzzy arithmetic because probabilities must add to one. Fuzzy random variables have fuzzy distributions. A fuzzy normal random variable has the normal distribution with fuzzy number mean and variance. Applications are to queuing theory, Markov chains, inventory control, decision theory and reliability theory.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783642867880\"\u003e\u003ch3\u003eNew Approach and Applications\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783642867880","offer_id":49593252348229,"sku":"9783642867880","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/2449ffe4-889d-4378-97e3-f1660cb745c6.jpg?v=1774157669","url":"https:\/\/shop.autorenwelt.de\/en\/products\/fuzzy-probabilities-von-james-j-buckley","provider":"Autorenwelt Shop","version":"1.0","type":"link"}