One of the most controversial issues in uncertainty modelling and information sciences is the relationship between probability theory and fuzzy sets. This paper is meant to survey the literature pertaining to this debate, and to try to overcome misunderstandings and to supply access to many basic references that have addressed the "probability versus fuzzy set" challenge. This problem has not a...

In this paper, we first introduced the concept of possibility single valued neutrosophic soft expert sets (PSVNSESs for short) which is a generalization of single valued neutrosophic soft expert sets (SVNSESs for short), possibility fuzzy soft expert sets ( PFSESs) and possibility intuitionistic fuzzy soft expert sets (PIFSESs). We also define its basic operations, namely complement, union, int...

FUZZY LINEAR PROGRAMMING USING MULTIATTRIBUTE VALUE FUNCTION Masahiro INUIGUCHI Hidetomo ICHIHASHI Hideo TANAKA University of Osaka Prefecture In this paper, a fuzzy linear programming problem is formulated under the assumption that a multiattribute value function is given, and its method of solution is proposed. The fuzzy linear programming problem in this paper is the unconstrained linear pro...

Fuzzy set-based methods contribute to the formalization of different types of approximate reasoning, mainly in two ways. First, when modeling classes and properties, fuzzy sets naturally encode gradual properties, such as, e.g., 'large', whose satisfaction is a matter of degree and may be only partial for particular instances. Due to this ability, fuzzy sets are naturally entitled to capture in...

K e y w o r d s F u z z y number, Possibility and necessity indices, a-optimal solution, Embedding theorem, Banach space. 1. I N T R O D U C T I O N The concept of fuzzy set was introduced by Zadeh [1]. Since then, many applications of fuzzy sets have been widely developed. One of them is the fuzzy optimization in operations research. The randomness occurring in the optimization problems is cat...

1 Singh, S., Hines, E. L.and Gardner, J. W. "Classifier Systems Based on Possibility Distributions: A Comparative Study", Proc. 3rd International Conference on Artificial Neural Networks and Genetic Algorithms ICANNGA97, Norwich, UK, Wein: Springer, pp.537-540 (2-4 April, 1997) Abstract The main aim of this paper is three fold: a) to understand the working of a classifier system based on possib...

The theoretical background for abstract formalization of the vague phenomenon of complex systems is the fuzzy set theory. In the paper, vague data is defined as specialized fuzzy sets fuzzy numbers and a fuzzy linear regression model is described as a fuzzy function with fuzzy numbers as vague regression parameters. To identify the fuzzy coefficients of the model, the genetic algorithm is used....