Noncommutative Logic Systems with Applications in Management and Engineering

Zadeh's (min-max, standard) fuzzy logic and various other logics are commutative, but natural language has nuances suggesting the premises are not equal, with premises contributing to the conclusion according to their prominency. Therefore, we suggest variants of salience-based, noncommutative and non-associative fuzzy logic (prominence logic) that may better model natural language and reasoning when using linguistic variables. Noncommutative fuzzy logics have several theoretical and applicative motivations to be used as models for human inference and decision making processes. Among others, asymmetric relations in economy and management, such as buyer-seller, provider-user, and employer-employee are noncommutative relations and induce noncommutative logic operations between premises or conclusions. A class of noncommutative fuzzy logic operators is introduced and fuzzy logic systems based on the corresponding noncommutative logics are described and analyzed. The prominence of the operators in the noncommutative operations is conventionally assumed to be determined by their precedence. Specific versions of noncommutative logics in the class of the salience-based, noncommutative logics are discussed. We show how fuzzy logic systems may be built based on these types of logics. Compared with classic fuzzy systems, the noncommutative fuzzy logic systems have improved performances in modeling problems, including the modeling of economic and social processes, and offer more flexibility in approximation and control. Applications discussed include management and engineering problems and issues in the field of firms’ ethics or ethics of AI algorithms

Lambert Function in the Determining of the Noise Equilibrium Frequency for Radiation Detectors

We analyze several cases of combined noise in sensors for radiation and in sensor-amplifier circuits. Solutions are shown to involve the Lambert function of various variables when the unknown is a frequency limit of the bandwidth. The coverage of the paper is essentially theoretical and its two aims are to exemplify the use of Lambert function in noise analysis and to help improving the design of pre-amplifiers, especially for radiation detectors

On the Characteristic Functions of Fuzzy Systems

We provide several properties of the input-output (characteristic) function of the SISO / MISO Sugeno fuzzy systems with c.o.g. defuzzification. The properties analyzed are related to continuity under various conditions for the input membership functions, including the case when the input space is a topological space

A Retrospective Assessment of Fuzzy Logic Applications in Voice Communications and Speech Analytics

Voice and speech communication is a major topic covering simultaneously ’communication’, ’control’ (because it often involves control in the coding algorithms), and ’computing’ - from speech analysis and recognition, to speech analytics and to speech coding over communication channels. While fuzzy logic was specifically con- ceived to deal with language and reasoning, it has yet a limited use in the referred field. We discuss some of the main current applications from the perspective of half a century since fuzzy logic inception

On the meaning of approximate reasoning − An unassuming subsidiary to Lotfi Zadeh’s paper dedicated to the memory of Grigore Moisil −

The concept of “approximate reasoning” is central to Zadeh’s contributions in logic. Standard fuzzy logic as we use today is only one potential interpretation of Zadeh’s concept. I discuss various meanings for the syntagme "approximate reasoning" as intuitively presented in the paper Zadeh dedicated to the memory of Grigore C. Moisil in 1975

Seismic Energy Harvester for High Current Emergency Applications: Gas Valves and Alarms

The paper explores if an energy harvester can be used as a sensor for the detection of waves from events such as earthquakes and blasts and at the same time produce high currents for use in an emergency gas valve. A design is proposed for an energy harvester and device that can improve the reliable operation of such valves. The same energy harvester is usable in alarms for seismic events

Yet Another Method for Image Segmentation based on Histograms and Heuristics

We introduce a method for image segmentation that requires little computations, yet providing comparable results to other methods. While the proposed method resembles to the known ones based on histograms, it is still different in the use of the gray level distribution. When to the basic procedure we add several heuristic rules, the method produces results that, in some cases, may outperform the results produced by the known methods. The paper reports preliminary results. More details on the method, improvements, and results will be presented in a future paper

Efficiency of a Combined Protection Method against Correlation

We analyze the eciency of the masking of instruction patterns using a chaotic driven clock and power supply, in front of a side attack intruding the power supply of a microsystem. The differential analysis is supposedly conducted by correlation power analysis. We demonstrate that the use of a chaotically-driven masking based on relatively simple circuits may be a signicant candidate for the protection of embedded systems

Applicative appraisal of the temperature dependence of the noise in preamplifiers the very low frequency case

Several matters related to noise design for preamplifiers are presented for very low frequencies, also pointing to issues raised by some circuits in the literature, including those with noise cancelling circuits. The changes in excess noise with temperature are of interest in applications such as wearable, where large variations of temperature can occur

Seismic Energy Harvester for High Current Emergency Applications: Gas Valves and Alarms

The paper explores if an energy harvester can be used as a sensor for the detection of waves from events such as earthquakes and blasts and at the same time produce high currents for use in an emergency gas valve. A design is proposed for an energy harvester and device that can improve the reliable operation of such valves. The same energy harvester is usable in alarms for seismic events