APAV - Academy of Sciences, Letters, Arts and Technology (E-Journals)
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Isomorphism on Interval-Valued Complex Fuzzy Graphs
Full text linkThis research paper delves definition of isomorphism, weak isomorphism and co-weak isomorphism within the realm of highly edge improper and neighbourly edge improper interval-valued complex fuzzy graphs as well as their complementary counterparts. Additionally we establish the isomorphism of μ-complement of highly edge improper interval-valued complex fuzzy graphs
Algebraic Coding Theory Using Pell Equation x2 − 8y2 = 1
Full text linkAn interdisciplinary field with significant practical use is cryptography. The difficulty of specific mathematical computing tasks affectsa public key cryptosystem’s security. The technique for coding anddecoding the messages was described in this work, utilising the solutions of Pell equation x2 - 8y2 = 1 and matrix Q8∗. It was notedthat messages can be turned into an even size that is then divided intoslabs
On NS s(I) Semi Open Sets
Full text linkIn this paper we define Nano soft(NS) s(I) semi open(SO) sets and NS s(I) semi closed(SC) sets in nano soft ideal topological space. Further in nano soft ideal topological space, we define NS s(I) semiinteriorand NS s(I) semi-closure. Additionally, we go through the characteristics and features of NS s(I) SO sets
Anti-fuzzy Bi-ideals in Hypersemigroups
Full text linkThis study aims at defining the concept of anti-fuzzy bi-ideals of hypersemigroups. This study also defines the hypersemigroup bi-ideals in terms of anti-fuzzy bi-ideals additionally
Weaker forms of Contra Continuous Multifunctions
Full text linkThe purpose of this paper is to study αgs-continuous multifunctions. Some basic characterizations, preservation theorems and several properties concerning upper and lower αgs-continuous multifunctions are investigated
The Paradox of Anti-Democratic Arguments: a defence of democratic principles in debate
Full text linkConventional approaches in pro- or anti-democratic discourses often scrutinize the efficacy of leadership based on its outcomes, or explore the moral foundations of different systems. Contrary to these approaches, my argument presented in this paper is grounded in the inherent psychological desire to be heard and accepted. I posit that the essence of democracy resides in free discussion — a value even embraced by committed anti-democrats in the context of debates, as their acknowledgment hinges on it. This article presents an argument, developed based on my experience in actual debates called The Paradox of Anti-Democratic Arguments, to counter anti-democratic debaters who question the legitimacy of democratic norms. The article discusses the practical application of the argument in debates and casual discussions, its limitations and highlights the underlying psychological processes that make the argument effective in the context of Leon Festinger’s theory of cognitive dissonance.
Door spaces on N-topology
Full text linkIn this article, we explore the idea of door space on -topological space. Here, we discuss which door spaces in this space are related with submaximal. The equivalent conditions shows how it connects a -topological property. Also, we derive various door spaces using separation axioms and discuss the characteristics of such door spaces. We take a strong form of open set in -topological space and introduce a new door space called - door space. In addition, we analyze -door space and discuss the relationship between a -locally closed set and -closed set
BIBO Stability and Decomposition Analysis of Signals and System with Convolution Techniques
Full text linkIn this paper control system’s stability is arrived based on BoundedInput Bounded Output (BIBO) when bounded input is given in theform of discrete values. The control system allows the state estimationconstraints to reach the convergence even when fluctuations inthe parameters of the input system occur. To overcome this DTFT(Discrete Time Fourier Transform) is used when the signal is completelyabsolutely summable. Stability of the LTI (Linear time invariant)system is showed and is depending on the absolute summable oftheir impulse response. Simultaneously for continuous signal the stabilityoccurs if it is absolutely integrable . LTI system is steady if theirimpulse responses encounter the Dirichlet conditions. In addition tothat the linearity and time-invariance properties are discussed. Thisprovide a new way to decompose the periodic signals into Fourier seriesby convolving the fundamental signals. Continuous and discretetime signals are focused in this paper to get linear time invariant system(LTI) through complex exponentials. Finally filtering techniqueswere used to eliminate the noisy frequency component in a signal
Predictions on the impact of the budget cap on Formula 1 teams’ performance
Full text linkThis study aims at quantifying the impact of the budget on the performance of Formula 1 teams. Until recently, the budgets of Formula 1 teams varied, thus, a competitive advantage was provided to those that consistently had greater funds than others. Understanding how dominant the effect of the budget is in the performance of a team will provide significant findings since a cost cap that aims at balancing the financial field, has been recently introduced. Prediction models regarding the team that performed better on a relatively lower budget will provide insights regarding which of them may thrive in the future
Results on Binary Soft Topological Spaces
Full text linkThe Baire space is used in the proof of results in many areas of analysis and geometry, including some of the fundamental theorems of functional analysis. The concept of Baire spaces has been studied extensively in general topology. Thangaraj and Anjalmose [35] studied Baire spaces in the context of fuzzy theory. In this paper, we discussed the notions of the binary soft nowhere dense, binary soft dense, binary soft Gδ-set, binary soft first and second category sets, binary soft Baire spaces. Many of their properties are revealed and different characterizations of each are given. In conclusion, we determined some conditions under which the subspace property of a Baire space is preserved