In this paper we have introduced fuzzy quasi-ideal and fuzzy left(right, two-sided) ideals in LA-semigroup. We have proved some results related to fuzzy quasi-ideals and fuzzy left(right, two-sided) ideals of an LA-semigroup. Further we characterize an intra-regular LA-semigroup by the properties of their fuzzy ideals.

ideals of these kinds; congruence class semirings. Abstract: Since they are closer related to the ring-theoretical concept of ideals than arbitrary semiring ideals, two-sided k-ideals and h-ideals occur in several statements on semirings. In this paper we investigate those ideals and also left-sided ones in arbitrary semirings S with commutative addition. For instance, we prove (for the rst tim...

In [4], the notion of a complete one-sided M-ideal for an operator space X was introduced as a generalization of Alfsen and Effros' notion of an M-ideal for a Banach space [1]. In particular, various equivalent formulations of complete one-sided M-projections were given. In this paper, some sharper equivalent formulations are given in the special situation that X = A, a C *-algebra (in which ca...

We consider the problem of estimating a one-dimensional parameter θ in a smooth parametric model when deviations from the “true” θ have to be judged in an asymmetric way, because underestimation is no problem while overestimation is. In the infinitesimal robust setup, we solve a corresponding asymmetric problem for as. linear estimators Sn : min asVarid(Sn) s.t. supQn asBiasQn(Sn) ≤ b for some ...

In [4], the notion of a complete one-sided M -ideal for an operator space X was introduced as a generalization of Alfsen and Effros’ notion of an M -ideal for a Banach space [1]. In particular, various equivalent formulations of complete one-sided M -projections were given. In this paper, some sharper equivalent formulations are given in the special situation that X = A, a C∗-algebra (in which ...

This paper considers the main positions of one-sided and two-sided problems. For onesided problems only the method of solution “the distance to the ideal point” is discussed in the actual version. For two-sided problems a distinction is made between games with rational behaviour and games against nature. The main strategic principles are as follows: simple min-max principle, extended min-max pr...

We study the state complexity of binary operations on regular languages over different alphabets. It is known that if L′m and Ln are languages of state complexities m and n, respectively, and restricted to the same alphabet, the state complexity of any binary boolean operation on L′m and Ln is mn, and that of product (concatenation) is m2 n − 2n−1. In contrast to this, we show that if L′m and L...