in this article, by using a partial on locally compact semi-direct product groups, we present a compatible extension of the fourier transform. as a consequence, we extend the fundamental theorems of abelian fourier transform to non-abelian case.

Over the past few years, a number of key issues related to the product family design process have been addressed, and a great deal of work has been done to improve it. Many different philosophies, approaches, frameworks, methods and methodologies have been employed in this effort, such as mass customization, modularity, delayed differentiation, commonality, platforms, product families, and so o...

Let G1 × G2 be a subgroup of SO3(R) such that the two factors G1 and G2 are non-trivial groups. We show that if G1 × G2 is not abelian, then one factor is the (abelian) group of order 2, and the other factor is nonabelian and contains an element of order 2. There exist finite and infinite such non-abelian subgroups. Let F2 be the free group of rank 2. It is well-known that the group SO3(R) has ...

Software product line has emerged as an attractive phenomenon within organizations dealing with software development process. It involves assembly of products from existing core assets, commonly known as components, and continuous growth in the core assets as production proceeds. Organizations trying to incorporate the concept of software product line to reduce development time and cost require...

In this paper, the unit interval 0, 1 will be denoted by I. LetX be a nonempty set. A member of I is called a fuzzy subset of X 1 . Throughout this paper, for A,B ∈ I we write A ≤ B if and only if A x ≤ B x for all x ∈ X. By A B, we mean that A ≤ B and B ≤ A, that is, A x B x for all x ∈ X. Also we write A < B if and only if A ≤ B and A/ B. If {Aj : j ∈ J} is a collection of fuzzy sets in X, th...

The prediction of product acceptability is often an additive effect of individual fuzzy impressions developed by a consumer on certain underlying attributes characteristic of the product. In this paper, we present the development of a data-driven fuzzy-rule-based approach for predicting the overall sensory acceptability of pistachio green hull’s marmalade. The model was formulated using the Tak...

In this paper, we study the fuzzy front-end (FFE) of innovation in the context of temporary virtual project teams (VPTs). We argue that despite the importance of innovation for today’s organizations, and the prevalence of VPTs in most industries, there are no studies examining how the innovation process plays out in this context. We draw on two temporary VPTs (Saint-Germain and Los Innovadores)...