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In the past there have been made various attempts to define the spectrum of a non-commutative C∗-algebra. But all these definitions have certain drawbacks — e.g. C.J. Mulvey's definition does not coincide with the standard definition of the spectrum in the commutative case. The aim of this paper is to give an alternative definition of the spectrum which does not suffer under this deficit — i.e. coincides...
The purpose of this paper is to make a case for the value of many-valued mathematics, often called fuzzy mathematics. We believe there may be a difference between many-valued mathematics and fuzziness, as used by those who work with fuzzy logic and fuzzy set theory and applications thereof. We think that most, if not all, fuzzy mathematics is many-valued. However, for this paper, the difference between...
Total Hip Arthroplasty (THA) recently becomes more famous in Japan. The number of operations is increasing more and more because of longevity. In the operation, inserting artificial femoral joint is important for clinical outcome (e.g., pain, and loosening.). In addition, femoral stem which is one of the artificial joints, has a shape fitting to femur bone so that the fixation between the femur bone...
We construct two types of alternative-consensus optimization models that concern crisp numbers and intervals for the DMs' opinions. In the alternative-consensus (interval) data envelopment analysis (DEA) model, the optimal alternative is the decision-making unit with the highest output utility, which is also the maximum consensus alternative. The alternative-consensus (interval) optimization model...
The Message Passing Interface (MPI), which appeared in 1994, introduced many powerful functionalities for parallel processing positioning the MPI among the top preferred packages for parallel processing for researchers and developers. However, MPI-1 did not provide mechanisms for creating runtime processes. Although MPI-2 included spawn process creation, it did not specify how those dynamically created...
This paper develops conditions for sensor fault detection and isolation of nonlinear descriptor systems. The proposed methodology is based on a bank of observers, thus a novel approach is proposed to design Takagi-Sugeno observers in descriptor form. Traditionally, for descriptor systems, the designing conditions employ an augmented state vector whose elements are the state and its derivative. The...
In this paper we apply the Fuzzy Entropy and Approximate Entropy measures to the Activities of Daily Living (ADL) for a set of elderly subjects in their own homes, and compare the entropy measures against a simpler count of activity transitions. The aim is to assess whether a single relatively simple measure can give an overview of the ADL in order to provide summaries of the wellbeing of an elderly...
In this paper, we propose to present a novel numerical information fusion method at the feature level. This method is based on the possibility theory using the Beta function and the type1 fuzzy theory. In this method, we proceed to estimate the possibility distribution of the numerical features by using the Beta function. So, we constitute the Beta-possbilistic knowledge base. Then, this Beta-possibilistic...
In this work we investigate a new family of fusion functions called internal fusion functions. The main characteristic of these functions is the fact that the output always corresponds to some of the given inputs. We propose a construction method and we study whether internal functions constructed in this way also satisfy properties of aggregation functions Finally, we apply internal functions in...
Personnel selection is a well-known problem that is made difficult by incomplete and imprecise information about candidate and position compatibility. This paper shows how positions, which satisfy candidate's interests, can be identified with fuzzy linguistic terms and a fuzzy OWA operator. A set of relevant positions aligned with a student's interests is selected using this approach. The implementation...
This paper proposes a modified particle swarm optimization (PSO) algorithm that can be used to solve a variety of fuzzy nonlinear equations, i.e. fuzzy polynomials and exponential equations. Fuzzy nonlinear equations are reduced to a number of interval nonlinear equations using alpha cuts. These equations are then sequentially solved using the proposed methodology. Finally, the membership functions...
Biometrie is a reliable and convenient way for person authentication. Template security is a major concern in practical implementation of biometric system. This work proposes cryptosystem for face verification with fuzzy vault. Here, a secrete value k is locked using fuzzy vault with a set of points. Fuzzy vault scheme is order invariant and applied for point set, hence SIFT is suitable feature extraction...
It has been noted in the literature that firms rarely follow a single theoretical model when designing their compensation policy. This study illustrates how a fuzzy cluster analysis can be helpful in understanding the way employees are rewarded according to firms' specificity and market conditions. For this purpose, we convert linked employer-employee data (LEED) into firm level data prior to fuzzy...
In this paper, we investigate the missing elements estimation issue of incomplete fuzzy reciprocal preference relation. Based on the multiplicative consistency property, a constrained nonlinear optimization model, which aims for making the induced matrix close to zero, is proposed to estimate the missing elements in the incomplete fuzzy reciprocal preference relation. The numerical example is illustrated...
Let Sup be the category of complete lattices and join preserving maps. The aim of this paper is to show that the theory of complete many-valued lattices exists. For this purpose we recall the concept of many-valued preordered sets and show that the category of many-valued join-complete lattices is isomorphic to the category of right modules in Sup — a theorem which goes back to I. Stubbe in a more...
In decision making dealing with computing with words, the importance of the statement that words mean different things for different people has been highlighted. In this paper, we focus on personalizing numerical scales of linguistic terms in decision making with hesitant fuzzy linguistic preference relations (HFLPRs). First, an average consistency measure for HFLPRs is provided, and then an optimization-based...
This study considers the dynamic changes of complexity feature by fuzzy entropy measurement and repetitive steady-state visual evoked potential (SSVEP) stimulus. Since brain complexity reflects the ability of the brain to adapt to changing situations, we suppose such adaptation is closely related to the habituation, a form of learning in which an organism decreases or increases to respond to a stimulus...
This work presents a brain computer interface (BCI) framework for upper limb rehabilitation of post stroke patients, combining BCI and virtual reality (VR) technology; a VR feedback is shown to the participants to achieve a greater activation of certain brain regions involved with the performing of upper limb motor task. This system uses an adaptive neuro-fuzzy inference system (ANFIS) classifier...
In this paper, we address the problem of predicting the time of occurrence of next activity, given the current activity and the context. The models that predict activity and time of occurrence rely on the basic idea that human beings perform sequence of activities at specific times regularly. In other words, the models are dependent on human behavior. However, human behavior changes over time. Also,...
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