On the TT-conditionality of TT-power based implications

summary:It is well known that, in forward inference in fuzzy logic, the generalized modus ponens is guaranteed by a functional inequality called the law of $T$-conditionality. In this paper, the $T$-conditionality for $T$-power based implications is deeply studied and the concise necessary and sufficient conditions for a power based implication $I^{T}$ being $T$-conditional are obtained. Moreover, the sufficient conditions under which a power based implication $I^{T}$ is $T^{\ast}$-conditional are discussed, this discussions give an ideas to construct a t-norm $T^{\ast}$ such that the power based implication $I^{T}$ is $T^{\ast}$-conditional

On the distributivity of T-power based implications

Due to the fact that Zadeh's quantifiers constitute the usual method to modify fuzzy propositions, the so-called family of T-power based implications was proposed. In this paper, the four basic distributive laws related to T-power based fuzzy implications and fuzzy logic operations (t-norms and t-conorms) are deeply studied. This study shows that two of the four distributive laws of the T-power based implications have a unique solution, while the other two have multiple solutions

The study on semicopula based implications

summary:Recently, Baczyński et al. (2017) proposed a new family of implication operators called semicopula based implications, which combines a given a priori fuzzy implication and a semicopula. In this paper, firstly, the relationship between the basic properties of the priori fuzzy implication and the semicopula based implication are analyzed. Secondly, the conditions such that the semicopula based implication is a fuzzy implication are studied, the study is carried out mainly in the case that the semicopula is a special family semicopula and the priori fuzzy implication is a ($U,N$)-implication. Moreover, the case that the semicopula based implication is 2-increasing (directionally decreasing, respectively) is also considered

Finite element method analysis of the inner fed inductor motor

Conference Name:9th IEEE International Conference on Control and Automation, ICCA 2011. Conference Address: Santiago, Chile. Time:December 19, 2011 - December 21, 2011.Induction motor which has a good use in centrifugal pump and fan drive, possesses the characteristics of slip power being able to be fed back, little converter capability, stepless speed adjustment around synchronous speed, and so on. In order to realize the rotor energy flowing bidirectional and high efficiency, auxiliary windings embedded in stator of induction motor (IFIM) are used to absorb or send slip power. Upon the parameters of the ordinary induction motor of the same power level, IFIM with auxiliary windings is simulated in finite element method analysis software (ANSYS) and the transformer characteristic between the dual windings is proved. The inductances of stator windings obtained by ANSYS resolving with different angle of rotor carry out the fact that the self-inductance and the mutual-inductance is stable, which is important in parameter design. ? 2011 IEEE

The Right Equivalent Integral Equation of Impulsive Caputo Fractional-Order System of Order <i>ϵ</i>∈(1,2)

For the impulsive fractional-order system (IFrOS) of order ϵ∈(1,2), there have appeared some conflicting equivalent integral equations in existing studies. However, we find two fractional-order properties of piecewise function and use them to verify that these given equivalent integral equations have some defects to not be the equivalent integral equation of the IFrOS. For the IFrOS, its limit property shows the linear additivity of the impulsive effects. For the IFrOS, we use the limit analysis and the linear additivity of the impulsive effects to find its correct equivalent integral equation, which is a combination of some piecewise functions with two arbitrary constants; that is, the solution of the IFrOS is a general solution. Finally, a numerical example is given to show the equivalent integral equation and the non-uniqueness of the solution of the IFrOS

Cracking Behavior of René 104 Nickel-Based Superalloy Prepared by Selective Laser Melting Using Different Scanning Strategies

Eliminating cracks is a big challenge for the selective laser melting (SLM) process of low-weldable Nickel-based superalloy. In this work, three scanning strategies of the snake, stripe partition, and chessboard partition were utilized to prepare Ren&eacute; 104 Ni-based superalloy, of which the cracking behavior and the residual stress were investigated. The results showed that the scanning strategies had significant effects on the cracking, residual stress, and relative density of the SLMed Ren&eacute; 104 superalloy. The scanning strategies with more partitions boosted the emergence of cracks, as high-density cracks occurred in these samples. The overlapping zone (OZ) of the scanning partition was also susceptible to cracking, which increased the size, number, and density of the cracks. The cracking performance was relatively moderate in the snake-scanned samples, while that in the chessboard-partition-scanned samples was the most severe. It is concluded that the partition scanning strategies induced more cracks in the SLMed Ren&eacute; 104 superalloy, of which the residual stress was apparently reduced. Therefore, it is necessary to design scanning strategies with optimized scanning partitions and overlaps to avoid cracking and acquire a high-quality, near fully dense, low-weldable Nickel-based superalloy using SLM

Purification and characterization of alkaline pectin lyase from a newly isolated Bacillus clausii and its application in elicitation of plant disease resistance

Alkaline pectin lyase (PNL) shows potential as a biological control agent against several plant diseases. We isolated and characterized a new Bacillus clausii strain that can produce 4,180 U/g of PNL using sugar beet pulp as a carbon source and inducer. The PNL was purified to apparent homogeneity using ultrafiltration, ammonium sulfate fractionation, DEAE Sepharose Fast Flow, and Sephadex G-75 gel filtration. The purified PNL was found to be a monomeric protein with a molecular weight of 35 kDa, as determined by sodium dodecyl sulfate polyacrylamide gel electrophoresis (SDS-PAGE). It demonstrated optimal activity with K m of 0.87 mg/ml at pH 10.0 and 60 °C. The enzyme is stable in the pH range of 8.0–10.0 and temperature ≤40 °C. Ca2+ was found to stimulate the enzymatic activity of the PNL by up to 410 %. Mass spectrometric results gave 38 % match coverage with pectate lyase from B. clausii KSM-K16 (gi|56961845). The PNL was found to elicit disease resistance in cucumber seedlings, suggesting that it may have applications in biocontrol and sustainable agriculture.Zuming Li, Zhihui Bai, Baoguo Zhang, Baojv Li, Bo Jin, Michael Zhang, Francis Lin and Hongxun Zhan