Electrical Engineering
Crossing the boundaries between sciences: The symbolic-based flow aggregation and disaggregation tree-shaped networks opened gates

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Abstract

The tree is a symbol of essence of Life Paradigm. In this regard, Gabr and Dorrah have recently introduced a new symbolic-based flow aggregation and disaggregation modular approach for man-made and natural tree-shaped networks spread in all sciences and disciplines with emphasis to Engineering/technology and Science of Botany. The analysis has shown that these networks are formed from a separate or joint feet/head aggregation networks or head’/feet’ disaggregation networks. The study also highlighted that such modeling will provide an effective tool for establishing "open gates" for crossing the boundaries between various sciences. The objective of this paper will be three folds. The first objective is to build two general paradigms for the symbolic-based analogies between various flow aggregation and disaggregation tree-shaped networks between various sciences. The second objective is to extend and implement the suggested paradigms of crossing the boundaries between sciences as a whole incorporating water science for both feet/head aggregation water basins and head'/feet' disaggregation tree-shaped irrigation networks. The third objective is to commence in building morphological and topological features categorization systems including some selected shapes of considered sciences. Three tree-shaped morphological-based bifurcation ratios are considered based on the total number of branches per order, the total sum of lengths of branches per order and the total basin area (or volume) of branches sub-areas (sub-volumes) per order. It is shown that the inherited heredity features of natural tree-shaped networks in various sciences could be easily captured through appropriate network morphological analysis. The results could be used for testing their heredity similarity and matching with other natural trees groups through newly defined Heredity Factors and Heredity Index. Finally, the first Heredity Index map is successfully delineated for a group of 8 natural tree-shaped watersheds networks demonstrating the applicability and effectiveness of the suggested heredity similarity testing approach.

Keywords

Crossing the boundaries between sciences
Feet/head aggregation network
Head'/feet' disaggregation networks
Morphology of tree-shaped networks, Network heredity factors and index
Symbolic-based modeling
Tree-shaped network analogies paradigms

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Walaa Ibrahim Gabr She received her B. Sc. in Electrical Engineering from Benha University (Shoubra Faculty), Egypt in year 2000, and the M. Sc. and Ph. D. Degrees in Automatic Control from Cairo University, Giza, Egypt, in 2006 and 2008 respectively. Since January 2011, she joined the Benha Faculty of Engineering, Benha University, Benha, where she is currently serving as an Associate Professor of Electrical Engineering, specialized in Automatic Control and System Engineering. From 2009 till 2010, she worked as Research and Development (R&D) Senior Consultant with SDA Engineering Canada Inc. (Toronto, Ontario) in the area of intelligent systems and their applications. From March 2014 till September 2015, she was a Visiting Professor with the Department of Electrical and Computer Engineering, Case Western Reserve University, Cleveland, Ohio (USA). Her main interests are system engineering, automatic control, intelligent systems, symbolic computations, crossing the boundaries between sciences, optimization techniques, probability and statistics, operations research, and smart power grids.

Hassen Taher Dorrah He received his B. Sc. Degree in Electrical Engineering from Cairo University (Cairo, Egypt) in 1968, and the M. Sc. and Ph. D. Degrees in Electrical Engineering from the University of Calgary, (Calgary, Alberta, Canada) in 1972 and 1975 respectively. From 1975 till 1976, he was a Post-Doctoral Fellow with the University of New Brunswick (Fredericton, New Brunswick, Canada). He then joined in 1977 Cairo University, where he worked since 1987 till now as a full Professor of Electrical Engineering. From 2007 to 2008, he served as its Head of the Department of Electric Power Engineering. In 1996, he established SDA Engineering Canada Inc. (Toronto, Ontario, Canada), where he is presently serving as its President. Dr. Dorrah is a registered Professional Engineer in Canada in both Ontario (since 1987) and New Brunswick (since 1976 and Life Member since 2011). He is also a Life Member of IEEE since 2014. His main interests are system engineering, automatic control, intelligent systems, symbolic computations, crossing the boundaries between sciences, smart grids, fuzzy systems, water and energy engineering, and operations research.

Peer review under responsibility of Ain Shams University.