Measure Of Medium Truth Scale And Its Application To Computer Architecture

A new numerical quantification approach for processing vague phenomenon, measure of medium truth scale (MMTS), has been developed. The MMTS is based on medium mathematics, so it is different from fuzzy set and rough set. This approach has been further applied to computer architecture research. The main contents of this dissertation are as follows:After introducing the history of studying vague phenomenon and surveying the main features of several methods of processing it, the goal of our research is explained. The history and progress of computer architecture are also recounted by following the advancement of new ideas and concepts.We then demonstrate that a numerical quantification method for fuzzy negation and truth-value degree is essential for applications. After establishing the standard pointer of the predicate and describing the relation between truth-values of the predicate and numerical value areas of general application, the definition of the function of distance ratio is proposed. From this the individual truth grad function in one-dimensional and n-dimensional is found. Additionally, the MMTS of sets is discussed for both discrete and continuous based on MMTS of individual. With the concept of super-truth presented in this paper, the interval of truth scale can be extended from[0,1] to (-∞,+∞) in theory. Application examples are shown to demonstrate that MMTS is reasonable and effective.After establishing medium standard pointer, fuzzy scale and medium entropy are proposed, and the measure of uncertainty is explored on the basis of medium entropy and random entropy.Because of the indistinct boundary between hardware and software in computer technology, new concepts of software and hardware, that are compatible with existing definitions, are proposed. According to medium concept, medium-ware is defined and its primary performance is discussed with MMTS. The new significance of computer architecture is subsequently revealed. The ratio of performance and cost, which serves as a reference for design evaluation, is proposed. Finally, design principle of medium-ware is discussed.In accordance with de-emphasizing'maximum difference'between concepts with opposite properties, the idea of weakening polarization and strengthening transition is presented. After a general discussion on transition and polarization, normal numerical quantification mapping and generalized numerical quantification mapping are constructed, and the sufficient condition for converting transition to opposing polarization is established. From this generalized medium-ware concept is defined. To overcome problems in traditional one-dimensional multi-layer structure, the HCW (hierarchical- component-ware) multi-layer structure that describes computer systems in three-dimensions is proposed. We demonstrate that HCW structure adapts to the new situation of computer architecture research, so that it is beneficial to the innovation and development of computer technology.Bio-molecular computation has already been the focus in cutting edge science research. As the interest in molecular computation has already advanced from validating algorithms to practical applications, it is urgent to develop general-purpose bio-molecular computers. A hierarchical structure of bio-molecular computers is designed; the rules of each hierarchical level and the specific requirements for users at different levels are described with the example of solving the Hamilton Path Problem by using the proposed user-oriented and expert-oriented programming languages. After establishing the physical model of bio-molecular computers, the detailed architecture and organization of these computers are discussed,and the bio-molecular computer system is described with HCW structure. The concept of hierarchical structure provides different directions and avenues to study the bio-molecular computer.