Order alteration in a cascade-ordered set

Order Ideals of a Quasi-ordered Set and Graywater

Reuse of graywater is often suggested to be amogts the most effective to some of the current ecological problems. Application of rough sets theory for discovering dependances between various types of graywater is in the main focus of this work. This can facilitate processes aiming at less energy and chemical use and lower fresh water use. Key–Words: Rough sets, order ideals, quasi-ordered set

Order-compatible Topologies on a Partially Ordered Set

Fuzzy Order Relation and Fuzzy Ordered Set Category

The paper is devoted to a concept of a fuzzy ordered set and partially ordered set category fuzzyfication. The aim of this work is to define a fuzzy order relation on a usual set, on an L-valued set and on an L-set. Using the fuzzy order relation we construct fuzzy POS category and study the connection between this categories and SET(L).

Coupled coincidence point theorems for maps under a new invariant set in ordered cone metric spaces

 In this paper, we prove some coupled coincidence point theorems for mappings satisfying generalized contractive conditions under a new invariant set in ordered cone metric spaces. In fact, we obtain sufficient conditions for existence of coupled coincidence points in the setting of cone metric spaces. Some examples are provided to verify the effectiveness and applicability of our results.

Sampling of Multiple Variables Based on Partially Ordered Set Theory

We introduce a new method for ranked set sampling with multiple criteria. The method relaxes the restriction of selecting just one individual variable from each ranked set. Under the new method for ranking, units are ranked in sets based on linear extensions in partially order set theory with considering all variables simultaneously. Results willbe evaluated by a relatively extensive simulation...