The goal of this paper is to consider properties of the composition of interval-valued fuzzy relations which were introduced by L.A. Zadeh in 1975. Fuzzy set theory turned out to be a useful tool to describe situations in which the data are imprecise or vague. Interval-valued fuzzy set theory is a generalization of fuzzy set theory which was introduced also by Zadeh in 1965. This paper generali...

Intuitionistic fuzzy parameterized intuitionistic soft matrices (ifpifs-matrices), proposed by Enginoğlu and Arslan in 2020, are worth utilizing data classification supervised learning due to coming into prominence with their ability model decision-making problems. This study aims define the concepts metrics, quasi-, semi-, pseudo-metrics similarities, pseudo-similarities over ifpifs-matrices; ...

In this paper, for an arbitrary multiplicative functional f from the set of all upper triangular fuzzy matrices to the fuzzy algebra, we prove that there exist a multiplicative functional F and a functional G from the fuzzy algebra to the fuzzy algebra such that the image of an upper triangular fuzzy matrix under f can be represented as the product of all the images of its main diagonal element...

the error of inertial navigation systems increase versus time, therefore for achieving higher accuracy specially in long time navigations we have to use an aiding system. global positioning system is the best aiding system in this case. in this paper we first simulate a gps and ins; then simulate tightly integration and finally review adaptation method of kalman filtering a fuzzy adaptive kalma...

The index matrix (IM) is an extension of the ordinary with indexed rows and columns. Over IMs’ standard operations are defined a lot other ones that do not exist in case. Intuitionistic fuzzy IMs (IFIMs) modification IMs, when their elements intuitionistic pairs (IFPs). Extended IFIMs whose indices columns evaluated by IFPs. Different operations, relations operators over IFIMs, some specific on...

The use of Linear Matrix Inequalities and Common Quadratic Lyapunov Functions is a powerful and commonplace tool for Takagi-Sugeno fuzzy controlled system analysis and synthesis. However, in practice, few practical and performing results are available when the subsystems exhibit different input matrices, because of the strong coupling between the subsystems/subcontrollers. In this paper, this c...