In security games, a defender commits to a mixed strategy for protecting a set of n targets of values αi; an attacker, knowing the defender’s strategy, chooses which target to attack and for how long. We study a natural version in which the attacker’s utility grows linearly with the time he spends at the target, but drops to 0 if he is caught. The defender’s goal is to minimize the attacker’s u...

in this paper we have generalized the concepts of ,q-fuzzy ideals, ,q-fuzzy quasi-ideals and,q-fuzzy bi-ideals by introducing the concepts of   k ,q -fuzzy ideals,   k ,q -fuzzy quasiideals and   k ,q -fuzzy bi-ideals in ternary semigroups and several related properties are investigated. different characterizations of regular and weakly regular ternary semigroups b...

Setting of this research is Bishop’s constructive mathematics, the mathematics developed on Intuitionistic logic. If (X, =, 6=, θ) is an anti-ordered set, for a coequality q on X we say that it is strongly regular if it is regular and θ ◦ q ⊆ q ◦ θ holds. In this case, θ ◦ q is a quasi-antiorder relation on X such that the relation Θ = π ◦ θ ◦ π−1 on X/q is the maximal anti-order on X/q.

| This paper presents a quasi-interpolation method for DIV-CURL vector splines in two dimensions on both innnite and nite domains. The quasi-interpolant is a linear combination of translates of dilates of a basis function. In particular, our discussion focuses on the approximation of a vector-valued function deened on a nite domain for practical application purposes. In such a case, edge functi...