This paper investigates roughness of fuzzy soft sets. A pair of fuzzy soft rough approximations is proposed and their properties are given. Based on fuzzy soft rough approximations, the concept of fuzzy soft rough sets is introduced. New types of fuzzy soft sets such as full, intersection complete and union complete fuzzy soft sets are defined and supported by some illustrative examples. We obt...

We propose a new approach to functional regression based on fuzzy evidence theory. This method uses a training set for computing a fuzzy belief structure which quantiies diierent types of uncertainties, such as nonspeciicity, connict, or low density of input data. The method can cope with a very large class of training data, such as numbers, intervals , fuzzy numbers, and, more generally, fuzzy...

In this paper we extend the notion of  degrees of membership and non-membership of intuitionistic fuzzy sets to lattices and  introduce a residuated lattice with appropriate operations to serve as semantics of intuitionistic fuzzy logic. It would be a step forward to find an algebraic counterpart for intuitionistic fuzzy logic. We give the main properties of the operations defined and prove som...

The quantum adversary method is one of the most versatile lower-bound methods for quantum algorithms. We show that all known variants of this method are equal: spectral adversary [BSS03], weighted adversary [Amb03], strong weighted adversary [Zha04], and the Kolmogorov complexity adversary [LM04]. We also present a few new equivalent formulations of the method. This shows that there is essentia...

Using a system of axioms among with a modified definition of boundary on the basis of the intuitionistic fuzzy sets, we formulate an inductive structure for the dimension of fuzzy spaces which has been defined by Coker. This new definition of boundary allows to characterize an intuitionistic fuzzy clopen set as a set with zero boundary. Also, some critical properties and applications are establ...

Our aim in this paper is to introduce the notion of fuzzy soft near-subtraction semigroups and fuzzy soft ideals of near-subtraction semigroups. We discuss some important properties of these new fuzzy algebraic structure and investigate some examples and counter examples.

Privacy and interpretability are two important ingredients for achieving trustworthy machine learning. We study the interplay of these aspects in graph learning through reconstruction attacks. The goal adversary here is to reconstruct structure training data given access model explanations. Based on different kinds auxiliary information available adversary, we propose several show that addition...

* Department of Teacher Training in Electrical Engineering, Faculty of Technical Education, King’s Mongkut Institute of Technology North Bangkok. Abstract This paper describes fuzzy sliding-mode control (FSMC), a fuzzy logic control based upon variable structure techniques. A variable structure approach is designed with guaranteed stability properties. A ball and beam system is used here as an ...

We study a multi-leader single-follower congestion game where multiple users (leaders) choose one resource out of set resources and, after observing the realized loads, an adversary (single-follower) attacks with maximum loads causing additional costs for leaders. For resulting strategic among leaders, we show that pure Nash equilibria fail to exist and therefore, consider approximate instead. ...