It is well known fact that binary relations are generalized mathematical functions. Contrary to functions from domain to range, binary relations may assign to each element of domain two or more elements of range. Some basic operations on functions such as the inverse and composition are applicable to binary relations as well. Depending on the domain or range or both are fuzzy value fuzzy set, i...

Software maintainability depends both on qualitative and quantitative data. Existing maintainability models aggregate data into hierarchies of characteristics with given dependencies. However, data used to score the characteristics can be uncertain or even completely unknown. Therefore, it would be meaningful to evaluate sensitivity of the aggregated result, i.e. the maintainability, with respe...

The traditional frameworks for fuzzy linear optimization problems are inspired by the max–min model proposed by Zimmermann using the Bellman–Zadeh extension principle to aggregate all the fuzzy sets representing flexible (fuzzy) constraints and objective functions together. In this paper, we propose an alternative approach to model fuzzy multi-objective linear programming problems (FMOLPPs) fro...

It is wildly believed that the information sharing and cooperation become important now for improving the performance of the retailer and the manufacturer of the short lifcycle product. This paper suggests a way to enhance the competency of short lifecycle products by integrating the markdown pricing policy into the aggregate production planning.An Aggregate Production Planning -Markdown Pricin...

in this note we first redefine the notion of a fuzzy hypervectorspace (see [1]) and then introduce some further concepts of fuzzy hypervectorspaces, such as fuzzy convex and balance fuzzy subsets in fuzzy hypervectorspaces over valued fields. finally, we briefly discuss on the convex (balanced)hull of a given fuzzy set of a hypervector space.