Grid computing uses the concept of resource sharing which is used in virtual machines and cores, to enhance the capacity of a parallel CPU. The energy utilized and the time taken for executing a task is the most important criteria to be considered during the work-flow scheduling. This paper recommends the frame work of PERMA-G implementing the techniques of optimization, modeled after the fuzzy...

We have already introduced many fuzzy concepts to scheduling problem and discussed so called fuzzy scheduling problems. In this paper, we introduce fuzzy allowable time concept newly to two identical machine problem, which is a fuzzy version of M. R. Garey and D. S. Johnson. That is, there are two identical machines and fuzzy ready times and deadlines are associated to each job, i.e., membershi...

This paper presents a new mathematical model for a bi-objective job shop scheduling problem with sequence-dependent setup times that minimizes the weighted mean completion time and the weighted mean tardiness time. For solving this multi-objective model, we develop a fuzzy multi-objective linear programming (FMOLP) model. In this problem, a proposed FMOLP method is applied with respect to the o...

We prove that given a fuzzy metric space (in the sense of Kramosil and Michalek), the completion of its Hausdorff fuzzy metric space is isometric to the Hausdorff fuzzy metric space of its completion, when the Hausdorff fuzzy metrics are defined on the respective collections of non-empty closed subsets. As a consequence, we deduce the corresponding result for metric spaces by using the standard...

Sherwood [Z] showed that every Menger space with continuous t-norm has a completion which is unique up to isometry. Since fuzzy metric spaces resemble in some respects probabilistic metric spaces it is to be expected that at least some fuzzy metric spaces have a completion. The purpose of this paper is to prove that. We need the following definitions. For the definition and properties of a fuzz...

Two single machine scheduling problems with fuzzy processing times and fuzzy due dates are considered. In both we define the fuzzy tardiness of a job in a given sequence as a fuzzy maximum of zero and the difference between the fuzzy completion time and the fuzzy due date of this job. In the first problem we minimize the maximal expected value of a fuzzy tardiness and in the second we minimize ...

In this paper, we study the completion of fuzzy quasi-uniform spaces from a categorical point view. Firstly, introduce concept prorelations and describe as enriched categories. Then construct Yoneda embedding in through promodules, prove validness Lemma for right adjoint promodules. Finally, Cauchy by embedding. We show that inclusion functor category T0 separated complete to quasiuniform has l...

Based on previous results that study the completion of fuzzy metric spaces, we show that every intuitionistic fuzzy quasi-metric space, using the notion of fuzzy metric space in the sense of Kramosil and Michalek to obtain a generalization to the quasi-metric setting, has a bicompletion which is unique up to isometry.