A coloring of the q-ary n-dimensional cube (hypercube) is called perfect if, for every n-tuple x, the collection of the colors of the neighbors of x depends only on the color of x. A Boolean-valued function is called correlation-immune of degree n − m if it takes the value 1 the same number of times for each m-dimensional face of the hypercube. Let f = χ be a characteristic function of some sub...

This paper investigates the use of the R-fuzzy significance measure hybrid approach introduced by the authors in a previous work; used in conjunction with grey analysis to allow for further inferencing, providing a higher dimension of accuracy and understanding. As a single observation can have a multitude of different perspectives, choosing a single fuzzy value as a representative becomes prob...

A common problem in decision-making is to analyze a tuple of numerical values associated with options, such as the degree of satisfaction assigned by experts to alternatives or probability values for hypotheses computed from data. With no loss of generality, it is assumed that the tuple contains values in the unit interval. For post-processing of typical value(s), singular values that may arise...

Fine particulate matter has become the premier air pollutant of Beijing in recent years, enormously impacting the environmental quality of the city and the health of the residents. Fine particles with aerodynamic diameters of 0~0.3 μm, 0.3~0.5 μm, and 0.5~1.0 μm, from the yeasr 2007 to 2012, were monitored, and the hospital data about respiratory diseases during the same period was gathered and...

In view of the multi-attribute decision-making problem that the attribute values are grey multi-source heterogeneous data, a decision-making method based on kernel and greyness degree is proposed. The definitions of kernel and greyness degree of an extended grey number in a grey multi-source heterogeneous data sequence are given. On this basis, we construct the kernel vector and greyness degree...

The purpose of this paper is to provide a reference for risk assessment and prevention the fresh agricultural product supply chain in Chengdu. factors products Chengdu are empirically analyzed by using grey correlation method, screening sorting carried out. According calculation results, it concluded that main risk, logistics demand production cooperation etc., value provided can meet status quo.

prior to the implementation of co2 injection eor projects, the screening evaluation of candidate reservoirs will promote the economic benefits of co2 injection. currently, a uniform screening method for co2 miscible flooding does not exist. based on more than 112 successfully implemented co2 miscible flooding reservoirs, which was referred in 2010 worldwide eor survey, and co2 miscible flooding...

We investigate the multiple attribute group decision making (MAGDM) problems in which the attribute values take the form of 2-tuple linguistic information. Motivated by the ideal of dependent aggregation [Xu, Z. S. (2006). Dependent OWA operators. Lecture Notes in Artificial Intelligence, 3885, 172–178], in this paper, we develop some dependent 2-tuple linguistic aggregation operators: the depe...