Intuitionistic fuzzy sets theory which is the generalisation of fuzzy sets theory is more suitable tool for dealing with imprecise information. The information provided by the decision maker is imprecise in many situations. So, intuitionistic fuzzy preference relation is a suitable tool for such cases. The estimation of the priority vector of the intuitionistic fuzzy preference relation is an i...

Weighted aggregation of fuzzy preference relations on the set of alternatives by several criteria in decision-making problems is considered. Pairwise comparisons with respect to importance of the criteria are given in fuzzy preference relation as well. The aggregation procedure uses the composition between each two relations of the alternatives. The membership function of the newly constructed ...

Tool wear condition monitoring has the potential to play a critical role in ensuring the dimensional accuracy of the workpiece and prevention of damage to cutting equipment. It could also help in automating cutting processes. In this paper, the feed cutting force estimated with the aid of an inexpensive current sensor installed on the ac servomotor of a computerized numerical control turning ce...

This paper shows an on-line verification tool for fuzzy controllers. On-line verification means the simulation of the software model of the controller using the real plant in a closed loop system. The tool is part of a fuzzy logic system development environment that permits the inclusion of the tool into a design flow methodology for fuzzy systems.

In this paper, we point out that the definition of fuzzy attribute implication actually implies a minimal degree and thus may be impractical in some applications. To solve this, we introduce probability information to fuzzy inclusion degree, and discuss some properties of this definition. Illustrations verifies the correctness of probability fuzzy attribute implication.

We consider the inclusion of fuzzy numbers by numbers of a predefined class where the plateaus of the including numbers may differ from the original one. Fuzzy multiplication is investigated as important special case. The results are of particular interest for the approximate solution of fuzzy linear equation systems.

The priority problem of incomplete preference relations is investigated. Using the transformation relation between multiplicative preference relation and fuzzy preference relation, we develop a least-square model to obtain the collective priority vector of the incomplete preference relations presented by multiple decision makers, with the existence condition of the solution being developed. Mea...

We extend some results obtained in 1998 and 1999 by studying the periodicity of the solutions of the fuzzy difference equations xn+1 = max{A/xn,A/xn−1, . . . ,A/xn−k}, xn+1 = max{A0/xn,A1/xn−1}, where k is a positive integer, A, Ai, i= 0,1, are positive fuzzy numbers, and the initial values xi, i=−k,−k + 1, . . . ,0 (resp., i=−1,0) of the first (resp., second) equation are positive fuzzy numbers.

Difference equations have already been successfully applied in a number of sciences (for a detailed study of the theory of difference equations and their applications, see [1, 2, 7, 8, 11]. The problem of identifying, modeling, and solving a nonlinear difference equation concerning a real-world phenomenon from experimental input-output data, which is uncertain, incomplete, imprecise, or vague, ...

We prove strong completeness of the -version and the 3-version of a Gödel modal logic based on Kripke models where propositions at each world and the accessibility relation are both in…nitely valued in the standard Gödel algebra [0,1]. Some asymmetries are revealed: validity in the …rst logic is reducible to the class of frames having twovalued accessibility relation and this logic does not enj...