a module m is called epi-retractable if every submodule of m is a homomorphic image of m. dually, a module m is called co-epi-retractable if it contains a copy of each of its factor modules. in special case, a ring r is called co-pli (resp. co-pri) if rr (resp. rr) is co-epi-retractable. it is proved that if r is a left principal right duo ring, then every left ideal of r is an epi-retractable ...

In previous work, authors have proposed two new aggregation operators for a class of LR fuzzy numbers known as triangular fuzzy numbers (TFNs) in which the Land Rapex angles of the piecewise continuous linear membership function of the composite or resultant or aggregate TFN are the arithmetic means [1] and the geometric means [2] of the Land Rapex angles of the individual TFNs. In another pape...

The main objective of this paper is to introduce a new class convexity called left-right–bi-convex fuzzy interval-valued functions. We study from the perspective fractional Hermite–Hadamard inequalities, involving integral left-right–AB integral. discuss several special cases that demonstrate our results are quite unifying. provide non-trivial numerical examples regarding means for positive rea...

In this paper we investgate some properties of fuzzy ideal extension of fuzzy ideal, fuzzy prime ideal, fuzzy semiprime ideal of a Γ−semiring. Among other results we have obtained a characterization of a prime ideal I of a Γ−semiring in terms of fuzzy ideal extension of its characteristic function λI . Mathematics Subject Classification[2000]:16Y60, 16Y99, 03E72

In this paper, T. K. Dutta`s and S. K. Sardar`s semiprime ideal of -rings as a fuzzy semiprime ideal of a -rings via its operator rings was defined. Some characterizations of fuzzy semiprime ideal of -rings was obtained. That is; a characterization prove of a fuzzy semiprime ideal, the relationship between fuzzy semiprime ideal and fuzzy prime ideal was obtained. If is fuzzy semiprime ideal of ...

In this paper, we define the various g-inverses of an intuitionistic fuzzy matrices, left (right ) cancelable intuitionistic fuzzy matrices and derive the equivalent condition for the existence of the generalized inverses . We also study the relation between the minus-ordering and the various g–inverses of an intuitionistic fuzzy matrix.

We propose a new approach to assigning distance between fuzzy numbers. A pseudo-metric on the set of fuzzy numbers and a metric on the set of trapezoidal fuzzy numbers are described. The regular reducing functions and the Hausdorff metric are used to define the metric. Using this metric, we can approximate an arbitrary generalized left right fuzzy number with a trapezoidal one. Finally, powers ...

The volumes of the left and right cardiac ventricles are important indexes for several cardiovascular diseases. In this paper, a semiautomatic algorithm based on 4D fuzzy connectedness is proposed for segmenting the cardiac ventricles in arbitrarily oriented cardiac cine MR images. The segmentation of the left ventricle was evaluated using 45 short axis images and a visual assessment of right v...

The volumes of the left and right cardiac ventricles are important indexes for several cardiovascular diseases. In this paper, a semiautomatic algorithm based on 4D fuzzy connectedness is proposed for segmenting the cardiac ventricles in arbitrarily oriented cardiac cine MR images. The segmentation of the left ventricle was evaluated using 45 short axis images and a visual assessment of right v...

In this paper we introduce R-right (left), L-left (right) cancellative and weakly R(L)-cancellative semigroups and will give some equivalent conditions for completely simple semigroups, (completely) regular right (left) cancellative semigroups, right (left) groups, rectangular groups, rectangular bands, groups and right (left) zero semigroups according to R-right (left), L-left (right) and weak...