«triangular fuzzy number arithmetic»
۶۷ نتیجهMethods for Solving Fully Fuzzy Transportation Problems Based on Classical Transportation Methods
There are several methods, in literature, for finding the fuzzy optimal solution of fully fuzzy transportation problems (transportation problems in which all the parameters are represented by fuzzy numbers). In this paper, the shortcomings of some existing methods are pointed out
Non-linear arithmetic operation on generalized triangular intuitionistic fuzzy numbers
In this paper we discussed some nonlinear arithmetic operation on generalized triangular intuitionistic fuzzy numbers. Some examples and an application are given.
On law of large numbers for L-R fuzzy numbers∗
This paper extends the author’s earlier work on the Law of Large Numbers for fuzzy numbers [2] to the case where the fuzzy numbers are of type L-R. Namely, we shall define a class of Archimedean triangular norms in which the equality lim n→∞ Nes(mn − ≤ ηn ≤ mn + = 1, for any > 0,
A Ranking Method of Triangular Intuitionistic Fuzzy Numbers and Application to Decision Making
Ranking of triangular intuitionistic fuzzy numbers (TIFNs) is an important problem, which is solved by the value and ambiguity based ranking method developed in this paper. Firstly, the concept of TIFNs is introduced. Arithmetic operations and cut sets over TIFNs are investigated
Product Type Operations between Fuzzy Numbers and their Applications in Geology
Multiplicative operations for fuzzy numbers raise several problems both from the theoretical and practical point of view in fuzzy arithmetic. The multiplication based on Zadeh's extension principle and its triangular and trapezoidal approximation is used in several recent works i
A class of fuzzy numbers induced by probability density functions and their arithmetic operations
In this paper we are interested in a class of fuzzy numbers which is uniquely identified by their membership functions. The function space, denoted Xh,p, will be constructed combining nonlinear mappings h (subjective perception) and probability density functions (PDF) p (objectiv
On the Implementation of Fuzzy Arithmetical Operations for Engineering Problems
Fuzzy arithmetic is a successful tool to solve engineering problems with uncertain parameters. The generalized mathematical operations for fuzzy numbers can theoretically be defined making use of Zadeh’s extension principle. Practical real-world applications of fuzzy arithmetic,
On replacement models via a fuzzy set theoretic framework
| Uncertainty is present in virtually all replacement decisions due to unknown future events, such as revenue streams, maintenance costs, and in°ation. Fuzzy sets provide a mathematical framework for explicitly incorporating imprecision into the decision making model, especially
Fuzzy set theory based methodology for the analysis of measurement uncertainties in river discharge and stage
The discharge and stage measurements in a river system are characterized by a number of sources of uncertainty, which affects the accuracy of a rating curve established from measurements. This paper presents a fuzzy set theory based methodology for consideration of different sour
Evaluating Investments in Advanced Manufacturing Technology: A Fuzzy Set Theory Approach
In this paper, a model for the evaluation of investments in advanced manufacturing technology is developed. Many authors have called for an integration of financial and non-financial factors in such evaluations and this paper demonstrates that it is conceptually possible to do th