Let E be a B-complete (B -complete) locally convex algebra and $ the topological direct sum of countably many copies of the scalar field with a jointly continuous algebra multiplication. It has been shown that E is also B-complete (B -complete) for componentwise multiplication on E . B-and Br-completeness of E , the unitization of E, and also of E x for other multiplications on E ...

and Applied Analysis 3 Conversely, if the pair of functions α and β satisfy the conditions 1 – 4 , then there exists a unique u ∈ E1 such that u λ α− λ , β λ for each λ ∈ 0, 1 , 9 . The fuzzy number u corresponding to the pair of functions α and β is defined by u : R → 0, 1 , u x sup{λ : α x ≤ λ ≤ β x }, 5 . A sequence u uk of fuzzy numbers is a function u from the set N, the set of all positiv...

Introduction: Failure Mode and Effects Analysis (FMEA) is a structured way to find and understand the states of a system’s failure and to calculate the resulting effects. In this method, which has been criticized by many researchers, the risk priority number is obtained for each failure mode based on the multiplication of the three parameters of occurrence (O), severity (S) and detection (D). I...

<span>Shell and tube heat exchanger is the most generally utilized types of for transfer in many industrial purposes. Shell comprises a set unit. One unit includes mechanical parts another consists controlling part. Both has to be modelled ensure efficient operation shell exchanger. The modelling completely established on type applications. controller independent kind only needs input flu...

The present study explores the productivity drivers of airline industry in India for their national and international performance. Interpretive structural modeling with polarity (TISM-P) approach is opted exploring interrelationships among by considering experts’ inputs. identified 17 factors driving industry, inputs had placed them nine levels using a TISM-P approach. Fuzzy-MICMAC (Matrice d’i...