Characterization of Gamma Hemirings by Generalized Fuzzy Gamma Ideals

This paper has explored theoretical methods of evaluation in the identification of the boundedness of the generalized fuzzy gamma ideals. A functional approach was used to undertake a characterization of this structure leading to a determination of some interesting gamma hemirings theoretic properties of the generated structures. Gamma hemirings are the generalization of the classical agebraic structure of hemirings. Our aim is to extend this idea and, to introduce the concept of generalized fuzzy gamma ideals, generalized fuzzy prime (semiprime) gamma ideals, generalized fuzzy h -gamma ideals and generalized fuzzy k - gamma ideals of gamma hemirings and related properties are investigated. We have shown that intersection of any family of generalized fuzzy (left, right) h - gamma ideals (k-gamma ideals) of a hemiring is a generalized fuzzy (left, right) h -gamma ideal (k-gamma ideal) of H. Similarly we proved that the intersection of any family of generalized fuzzy prime (resp. semiprime) gamma ideals of H is a generalized fuzzy prime (resp. semiprime) gamma ideal of H. We have proved that a fuzzy subset μ of H is fuzzy h -gamma ideal (k-gamma ideal) if and only if μ is a generalized fuzzy h -gamma ideal (k-gamma ideal) of H. Further level cuts provide a useful linkage betwean the classical set theorey and the fuzzy set theorey. Here we use this linkage to investigate some useful aspects of gamma hemirings and characterize the gamma hemmirings through level cuts in terms of generalized fuzzy (left, right, prime, semiprime) gamma ideals of gamma hemirings. We have also used the concept of support of a fuzzy set in order to obtain some interesting results of gamma hemirings using the generalized fuzzy (left, right, prime, semiprime) gamma ideals of hemirings

Applications of Neutrosophic Bipolar Fuzzy Sets in HOPE Foundation for Planning to Build a Children Hospital with Different Types of Similarity Measures

In this paper we provide an application of neutrosophic bipolar fuzzy sets in daily life’s problem related with HOPE foundation that is planning to build a children hospital, which is the main theme of this paper. For it we first develop the theory of neutrosophic bipolar fuzzy sets which is a generalization of bipolar fuzzy sets

An application of complex neutrosophic sets to the theory of groups

In this article we introduce the concept of complex neutrosophıc subgroups (normal subgroups). We define the notion of alpha-cut of complex neutrosophıc set, give examples and study some of its related results. We also define the Cartesian product of complex neutrosophic subgroups. Furthermore, we introduce the concept of image and preimage of complex neutrosophic set and prove some of its properties

Neutrosophic Triplet Non-Associative Semihypergroups with Application

In this paper, we extended the idea of a neutrosophic triplet set to non-associative semihypergroups and define neutrosophic triplet LA-semihypergroup.We discuss some basic results and properties. At the end, we provide an application of the proposed structure in Football

Cubic Graphs with Application

We introduce certain concepts, including cubic graphs, internal cubic graphs, external cubic graphs, and illustrate these concepts by examples. We deal with fundamental operations, Cartesian product, composition, union and join of cubic graphs. We discuss some results of internal cubic graphs and external cubic graphs. We also describe an application of cubic graphs

On Fuzzy Ordered LA-Semihypergroups

We introduce the notion of fuzzy ordered LA-semihypergroups and provide different examples. We also discuss some results related with fuzzy left and right hyperideals

Some Linguistic Neutrosophic Cubic Mean Operators and Entropy with Applications in a Corporation to Choose an Area Supervisor

In this paper, we combined entropy with linguisti neutrosophic cubic numbers and used it in daily life problems related to a corporation that is going to choose an area supervisor, which is the main target of our proposed model