This chapter describes the definition and operations of fuzzy and intuitionistic fuzzy set (IFS) theory with examples. In a fuzzy set, the degree of membership of an element signifies the extent to which the element belongs to a fuzzy set, i.e. there is a gradation of membership value of ...
Next, the application studies on three fields such as fuzzy control, fuzzy decision making and fuzzy mathematical programming which are considered as the most appropriate examples in showing the efficiency of fuzzy set theory are presented. Finally, the future research topics on fuzzy set theory are...
Data sets are a key part of experimentation in math, physics and other scientific disciplines. It is a collection of data from an experiment grouped together by a relevant topic. Answer and Explanation: Learn more about this topic: Data Set in Math | Definition, Types & Examples ...
Some properties of subclasses of such fuzzy set-theoretic operators are investigated. Specific examples are given. An attempt to discuss a possible interpretation of these operators is proposed. The choice of a good operator in a given ... D Dubois,H Prade - Springer US 被引量: 156发表: 198...
Several types of conditional translation rules are discussed and, in particular, a translation rule for propositions of the form “X is F is α-possible,” where α is a number in the interval [0, 1], is formulated and illustrated by examples....
Numerical examples are provided to illustrate the results of proposed models. 展开 关键词: Theoretical or Mathematical/ fuzzy set theory inventory management lot sizing profitability/ fuzzy sets theory EOQ model shortage backordering imperfect quality items inventory model optimal order lot size optimal ...
In this form, a set is represented by listing all the elements comprising it. The elements are enclosed within braces and separated by commas. Following are the examples of set in Roster or Tabular Form − Set of vowels in English alphabet, A = {a,e,i,o,u} ...
Illustrative examples with white and color noise are provided to demonstrate the applicability and effectiveness of the developed FBE. Comparisons between the FBE and various modified Kalman filter are also included. 展开 关键词: Kalman filters filtering theory fuzzy logic fuzzy set theory fuzzy systems...
Fuzzy set theory was proposed by Zadeh in 1965 as an extension of the classical notion of a set (Zadeh, 1965). With the proposed methodology, Zadeh introduced a mathematic method with which decision-making using fuzzy descriptions of some information becomes possible. The basis of this theory ...
A fuzzy set based classifier builds a decision tree structure that is used to place new drill data in the appropriate numerical lithology set. Examples are shown from two North Sea wells, and some of the problems discussed. 展开 被引量: 9 ...