A number of heuristics for near optimal functional synthesis of Multi-Valued Logic (MVL) have been reported in the literature. Among the well-known heuristics is the Direct Cover algorithm (DCA). We have introduced a number of improved versions of the DCA. These include the Weighted Direct Cover (WDC), the Ordered Direct Cover (ODC), and the Fuzzy Direct Cover (FDC). In this paper, we review an...

<abstract><p>Let $ G be a graph with vertex set V(G) $. A function f:V(G)\rightarrow \{0, 1, 2\} is Roman dominating on if every v\in for which f(v) = 0 adjacent to at least one u\in such that f(u) 2 The domination number of the minimum weight \omega(f) \sum_{x\in V(G)}f(x) among all functions f In this article we study direct product graphs and rooted graphs. Specifically, give sev...

Mass customization has been identified as a competitive strategy by an increasing number of companies. Family-based product design has been recognized as an efficient and effective means to realize sufficient product variety to satisfy a range of customer demands in support for mass customization. This chapter presents a knowledge-supported approach to concept evaluation and selection in design...

In this paper, we introduce the notion of (∊,∊˅qk)-intuitionistic fuzzy subalgebrasas a generalization of an (∊,∊˅q)-intuitionistic fuzzy subalgebrasin BEalgebras. Characterizations (∊,∊˅qk)-intuitionistic fuzzy subalgebrasare established. Finally, we show that the Cartesian product of (∊,∊˅qk)-intuitionistic fuzzy subalgebras is an (∊,∊˅qk)-intuitionistic fuzzy subalgebras.