Fuzzy Language Research Articles

Fuzzy Linear Automata and Some Equivalences

In this paper, we present two new normal forms for fuzzy linear grammars that preserving language. In addition, we introduce two new classes of fuzzy machines, Fuzzy Linear Automata (FLA) and Fuzzy Nondeterministic 2-Tape Automata (2-FNA), we show the equivalence between them and also show that the class of fuzzy languages recognized by these machines is exactly the class of fuzzy linear languages, i.e., FLA and 2-DNA are recognized machines for class of fuzzy linear languages.

Fuzzy Linear Automata and Some Equivalences

In this paper, we present two new normal forms for fuzzy linear grammars that preserving language. In addition, we introduce two new classes of fuzzy machines, Fuzzy Linear Automata (FLA) and Fuzzy Nondeterministic 2-Tape Automata (2-FNA), we show the equivalence between them and also show that the class of fuzzy languages recognized by these machines is exactly the class of fuzzy linear languages, i.e., FLA and 2-DNA are recognized machines for class of fuzzy linear languages.

On the Role of “Fuzzy Language” in Cultivating “Core Accomplishment”: Based on the Cross-Cultural Communication

Fuzzy language has something to do with beauty, techniques, competence and accomplishment. On the way from knowledge era to accomplishment era, the author tries to focus on the role of fuzzy language in cultivating students’ core accomplishment by cultivating aesthetic taste, promoting international understanding, enriching humanistic accomplishment and enhancing practical ability.

Study on evaluation of construction reliability for engineering project based on fuzzy language operator

System Reliability Theory is a research hotspot of management science and system engineering in recent years, and construction reliability is useful for quantitative evaluation of project management level. According to reliability theory and target system of engineering project management, the defination of construction reliability appears. Based on fuzzy mathematics theory and language operator, value space of construction reliability is divided into seven fuzzy subsets and correspondingly, seven membership function and fuzzy evaluation intervals are got with the operation of language operator, which provides the basis of corresponding method and parameter for the evaluation of construction reliability. This method is proved to be scientific and reasonable for construction condition and an useful attempt for theory and method research of engineering project system reliability.

Value evaluation method of industrial product-service based on customer perception

It has become an important trend in the manufacturing industry that service is used to enhance the competitiveness of businesses as well as an important source of values. Aiming to realise the performance evaluation of industrial product-service and lay a basis for further development and application of industrial product-service systems, a value evaluation method based on customer perception is presented in this paper. First, performance evaluation index system of industrial product-service is proposed based on product-service value properties. The performance evaluation method is developed based on ordered weighted averaging operator of fuzzy language. Second, ability evaluation index system of service value creation is proposed based on value demands of customers. And the ability evaluation method is developed based on fuzzy synthetic and hierarchy analysis. Finally, the proposed approach to product-service value evaluation is demonstrated by an example of automobile marketing service from XX 4S shop.

A categorical approach to minimal realization for a fuzzy language

In this study, we provide a general theory of minimal realization for a given fuzzy language in a category theory setting. We introduce categorical characterizations of a run map, reachability map, and observability map for a crisp deterministic fuzzy automaton. Finally, we show that all minimal realizations for a given fuzzy language are isomorphic to the Nerode realization for the same case.

A Belief-Evolution-Based Approach for Online Control of Fuzzy Discrete-Event Systems Under Partial Observation

In this paper, we investigate the partially observed supervisor synthesis problem in the framework of fuzzy discrete-event systems (DESs). The goal is to synthesize a fuzzy supervisor such that the behavior of the closed-loop system is within a given fuzzy language. A new approach for solving this problem is proposed based on the idea of belief evolution. Specifically, we propose an algorithm that can be implemented in an online manner. We show that the proposed algorithm is both sound and complete, i.e., it effectively solves the supervisor synthesis problem. To the best of our knowledge, this is the first algorithm with such a property for fuzzy DESs, as previous works on this topic mostly focus on the supervisor existence condition rather than the supervisor synthesis problem.

Thresholded semantic framework for a fully integrated fuzzy logic language

This work proposes a declarative semantics based on a fuzzy variant of the classical notion of least Herbrand model for the so-called FASILL programming language (acronym of “Fuzzy Aggregators and Similarity Into a Logic Language”) which has been recently designed and implemented for coping with implicit/explicit truth degree annotations, a great variety of connectives and unification by similarity. Also, we define an immediate consequence operator that allows us to give a fixpoint characterization of the least Herbrand model for a FASILL program. A remarkable aspect of our declarative and fixpoint semantics is the fact that both have been enriched with the use of thresholds thanks to the natural ability of the underlying fuzzy language for managing such constructs. Moreover, we have connected both semantics with an operational one, which also manages thresholds in an efficient way, by proving the correctness of the whole semantic framework.

Pragmatic Analysis of English Fuzzy Language in International Business Negotiation

This thesis aims to lead negotiators to pay more attention to use fuzzy language and put forward three strategies for negotiators to use fuzzy language in business negotiation following the cooperative principle and politeness principle. The thesis proves its importance in business negotiation by theoretical analysis and showing a series of examples. The author provides some strategies for negotiators and guides them to negotiate in international business negotiation well such as ambiguity, euphemism and so on. Sometimes, negotiators have to violate the maxims to gain a better result. The appropriate appliance of fuzzy language can relive the tension in business negotiation, being accurate and flexible, and improving the efficiency. The innovation of this paper is from the practical application of fuzzy language to better negotiation.

Rough Fuzzy Automata and Rough Fuzzy Grammar

Automata theory plays a key role in computational theory as many computational problems can be solved with its help. Formal grammar is a special type of automata designed for linguistic purposes. Formal grammar generates formal languages. Rough grammar and rough languages were introduced to incorporate the imprecision of real languages in formal languages. These languages have limitations on uncertainty. The authors have considered both uncertainty and approximations to define rough fuzzy grammar and rough fuzzy languages. Under certain restrictions, their grammar reduces to formal grammar. Furthermore, the authors have proposed definition of rough fuzzy automata that accepts rough fuzzy regular language.

Research on the Music Education Quality Evaluation Based on TFAHPGC

The music teaching is an integral part of college student quality education. However, many colleges do not pay attention to the music teaching. In addition, different regions of the colleges have a different attitude to the music teaching. Therefore, it is important to evaluate the music education. The fuzzy evaluation method is an important part in the evaluation methods. The method can apply the fuzzy language to evaluate the target. Therefore, the evaluated results of the method are more practical. In this paper, we combine the fuzzy analytic hierarchy process, AHP method with the Gray correlation method and put forward the TFAHPGC method. Then, we use the method to evaluate the music teaching in different regions of the colleges in China. The final experimental results show that the method is very effective.

The application of terms mining technique to clustering participant’s character patterns in the enterprise management

The participant's character patterns are different in different progresses of enterprise management innovation at various stages of advanced lean management. Term mining technique is used to analyze the text of the results of interviews to detect participant's character patterns in the enterprise management innovation process (EMIP). Five levels of fuzzy language variables--very low, low, normal, high and very high, are used to differentiate the participant's character patterns in the EMIP at the stages of advanced lean management of point, line, plane and cube. The main conclusions from this research are: (1) Participant's character patterns in the EMIP are developed from the four stages (point, line, panel, cube)of the advanced lean management, providing the gist for more targeted designing of the promotion mechanism in the progress of advanced enterprise lean management. (2) The application of text mining method can be extended to analyze participant's character patterns. (3) Get the participant's character patterns can provide the basis for company management.

Rule based fuzzy cognitive maps and natural language processing in machine ethics

Purpose The developing academic field of machine ethics seeks to make artificial agents safer as they become more pervasive throughout society. In contrast to computer ethics, machine ethics is concerned with the behavior of machines toward human users and other machines. This study aims to use an action-based ethical theory founded on the combinational aspects of deontological and teleological theories of ethics in the construction of an artificial moral agent (AMA). Design/methodology/approach The decision results derived by the AMA are acquired via fuzzy logic interpretation of the relative values of the steady-state simulations of the corresponding rule-based fuzzy cognitive map (RBFCM). Findings Through the use of RBFCMs, the following paper illustrates the possibility of incorporating ethical components into machines, where latent semantic analysis (LSA) and RBFCMs can be used to model dynamic and complex situations, and to provide abilities in acquiring causal knowledge. Research limitations/implications This approach is especially appropriate for data-poor and uncertain situations common in ethics. Nonetheless, to ensure that a machine with an ethical component can function autonomously in the world, research in artificial intelligence will need to further investigate the representation and determination of ethical principles, the incorporation of these ethical principles into a system’s decision procedure, ethical decision-making with incomplete and uncertain knowledge, the explanation for decisions made using ethical principles and the evaluation of systems that act based upon ethical principles. Practical implications To date, the conducted research has contributed to a theoretical foundation for machine ethics through exploration of the rationale and the feasibility of adding an ethical dimension to machines. Further, the constructed AMA illustrates the possibility of utilizing an action-based ethical theory that provides guidance in ethical decision-making according to the precepts of its respective duties. The use of LSA illustrates their powerful capabilities in understanding text and their potential application as information retrieval systems in AMAs. The use of cognitive maps provides an approach and a decision procedure for resolving conflicts between different duties. Originality/value This paper suggests that cognitive maps could be used in AMAs as tools for meta-analysis, where comparisons regarding multiple ethical principles and duties can be examined and considered. With cognitive mapping, complex and abstract variables that cannot easily be measured but are important to decision-making can be modeled. This approach is especially appropriate for data-poor and uncertain situations common in ethics.

Semantic Fuzziness and Its Translation Strategies

<p>Ever since the appearance of fuzziness, it has aroused heated debate among scholars. Fuzzy linguistics, as a newly developed subject, is a science concerning fuzzy language. Fuzziness is the intrinsic feature of every language so the translation of it should be attached great importance. The translation strategies should be proper when they are adopted in translating fuzzy languages. As far as the translation strategies are concerned, the first strategy can be viewed as semantic translation and the second one, communicative translation.</p>

Research on Evaluation System of Vibration Induced by Shield Construction

The research of vibration induced by rail transit should not only consider operation stages, but also extend to the construction phase. Based on the calculation results of site test, the evaluation index system was proposed which is suitable for vibration induced by shield construction. The evaluation indexes were built for the first time and the weight coefficient method was used to determine the weight of each evaluation index. According to actual application of evaluation project, the vibration level was described by Fuzzy language, then the evaluation index system of vibration induced by shield construction was established, which is verified by a project example. The research result shows that: the vibration induced by shield construction can be directly present by the evaluation indexes assessment system which was based on site test, so the leading factors can be effectively traced. Afterwards, a reasonable level of vibration and corresponding risk control measures can be gotten, then the satisfactory assessment result was obtained at last. The evaluation index system of vibration induced by shield construction provides some reference datum for the vibration sensitive area by shield construction.

A generalization of Myhill–Nerode theorem for fuzzy languages

The well-known Myhill–Nerode Theorem provides a necessary and sufficient condition for a language to be regular. In the context of fuzzy languages and automata theory, Myhill–Nerode type theorems have been proved for fuzzy languages with finite range. This paper introduces a new right equivalence relation on the free monoid of an alphabet based on the notion of factorization of fuzzy languages. The index of this relation for a fuzzy language with infinite range can be finite. This fact allows us to generalize the Myhill–Nerode Theorem for any kind of fuzzy languages. In this paper is proved that the following two conditions are mutually equivalent for a given fuzzy language X: (i) there exists a factorization such that the right equivalence relation of X (defined via the factorization) has a finite index; (ii) the fuzzy language X is recognized by a fuzzy deterministic finite automaton.

On equality between fuzzy context-free and fuzzy adult 0L languages

In classical formal language theory there is a well-known result stating equality between context-free and adult 0L languages, the first ones being generated in a sequential way whilst the second ones are generated in a parallel way. This paper generalizes the classical result and proves its validity for fuzzy context-free and newly introduced fuzzy adult 0L languages.

Determinization of Fuzzy Automata by Means of the Degrees of Language Inclusion

Determinization of fuzzy finite automata is understood here as a procedure of their conversion into equivalent crisp-deterministic fuzzy automata, which can be viewed as being deterministic with possible infinitely many states, but with fuzzy sets of terminal states. Particularly, significant determinization methods are those that provide a minimal crisp-deterministic fuzzy automaton equivalent to the original fuzzy finite automaton called canonization methods. One canonization method for fuzzy finite automata, the Brzozowski type determinization, has been developed recently by Jancic and Ciric in [10] . Here we provide another canonization method for a fuzzy finite automaton $\cal A=(A,\sigma, \delta, \tau)$ over a complete residuated lattice $\cal L$ , based on the degrees of inclusion of the right fuzzy languages associated with states of $\cal A$ into the left derivatives of the fuzzy language recognized by $\cal A$ . The proposed procedure terminates in a finite number of steps, whenever the membership values taken by $\delta$ , $\sigma$ , and $\tau$ generate a finite subsemiring of the semiring reduct of $\cal L$ . This procedure is generally faster than the Brzozowski type determinization, and if the basic operations in the residuated lattice $\cal L$ can be performed in constant time, it has the same computational time as all other determinization procedures provided in [8] , [11] , and [12] .

New Programmable CMOS Fuzzifier and C2V Circuits Applicable in FLC Chip for Signal Processing of MEMS Glucose Sensors

This paper presents the design and simulation of improved circuits of Fuzzifier and capacitance to voltage (C2V) converter. The Fuzzifier circuit is designed based on analog advantages such as low die area, high accuracy, and simplicity which are added to the fuzzy system advantages. For implementing this idea, a programmable Membership Function Generator (MFG) including differential pair circuit as a Fuzzifier is proposed. The MFG generates arbitrary forms of Gaussian, Trapezoidal, and Triangular shapes. The shape types are achieved using control switches and different reference voltages. This structure is also general purpose in tuning the slope of Membership Functions (MFs) using scaled transistors with different W/L ratios. With a specific purpose in mind, we used it here to generate fuzzy language terms from sensed classic data of a blood glucose microsensor. Thus we proposed a C2V circuit to convert capacitance variations (from MEMS glucose microsensor) to voltage values as classic data. The proposed mentioned circuits can be applicable in design of Fuzzy Logic Controller (FLC) chips to detect blood glucose, process its data in Fuzzy environment, and control insulin injection of diabetic patients by MEMS micropumps. The simulation results are achieved by MATLAB and Hspice software in 0.35 μm CMOS standard technology.

On minimal realization for a fuzzy language and Brzozowski’s algorithm

The purpose of the present work is to provide a simpler solution of a well-known characterization of fuzzy regular languages and a minimal realization for given fuzzy language by using Brzozowski’s algorithm. In between, we associate two crisp deterministic fuzzy automata with a given crisp deterministic fuzzy automaton and show that the reachability and observability maps of the given crisp deterministic fuzzy automaton turn out to be morphisms of category of all crisp deterministic fuzzy