International Journal of Neutrosophic Science

Resolving financial futures through inverse problem-solving delves into the complicated process of deciphering the difficulties subjective in the financial market to forecast behaviours and future trends. Inverse problem-solving involves working backwards from observed outcomes to uncover the underlying conditions or parameters, unlike prediction models, which often rely on past information to predict future outcomes. This method in the finance sector includes untangling the numberless factors influencing the market dynamics, like technological advancements, economic indicators, investor sentiment, and geopolitical events. Analysts can tease out hidden patterns and relationships within financial data using statistical techniques and complex mathematical algorithms, enabling them to generate accurate predictions of market volatility, asset prices, and other crucial metrics. The financial future becomes less opaque through the lens of inverse problem solving, providing policymakers and investors great foresight and insight into navigating the uncertainties of global markets. Hence, this study introduces a Neutrosophic MOOSRA with Whale Optimization Algorithm (NMOOSRA-WOA) for Unraveling Financial Futures through Inverse Problem Solving. The NMOOSRA-WOA incorporates linear scaling normalization, NMOOSRA-based prediction, and WOA-based parameter tuning to boost the robustness and accuracy of financial predictions. The NMOOSRA technique generates predictions based on past financial time series data. Moreover, the framework integrates the Whale Optimization Algorithm (WOA) for parameter tuning, leveraging whale pods' search abilities to optimize predictive performance and finetune model parameters. The NMOOSRA-WOA provides a comprehensive algorithm for financial prediction by synergistically combining these methodologies, which facilitates more accurate forecasts of market trends, asset prices, and other critical indicators. Experimental results on real-time financial datasets demonstrate the superiority and efficacy of the proposed framework over other classical prediction techniques, highlighting its potential for risk management within dynamic financial markets and real-time applications in investment decision-making.

Plithogenic matrices are considered as advanced mathematical generalizations of classical square matrices. One of the most research problems that is related to them is finding the eigen-values and vectors. This paper aims to present an easy algorithm to find all eigen-values and eigen-vectors for 10 different symbolic square n-plithogenic matrices with plithogenic real entries, where n is between 20 and 29. All algorithms are explained through clear theorems and proofs.

This study leverages the Neutrosophic COPRAS method to assess strategies for easing the transition into retirement, focusing specifically on the critical role of emotional and psychological support. By incorporating neutrosophic sets, the research captures the complexity and ambiguity inherent in human perceptions of retirement and its impact on family dynamics, especially within the socio-economic and cultural context of Ecuador. The Neutrosophic COPRAS method facilitates a nuanced analysis, enabling the evaluation of strategies under conditions of uncertainty and indeterminacy. Key findings highlight the necessity of implementing targeted support programs that directly address the emotional and psychological challenges associated with retirement. The study’s innovative approach not only contributes to the understanding of retirement's effect on family dynamics but also showcases the Neutrosophic COPRAS method as a valuable tool for decision-making in complex scenarios. It calls for the development of policies and programs that are specifically designed to meet the unique needs of the Ecuadorian population, emphasizing the importance of cultural and socio-economic considerations in crafting interventions to promote healthy retirement adaptation and family cohesion.

This present contemplate confers a productive repertoire replica in which ultimatum is appraised as a basis of medical utilization of fragile commodities by the juvenile diabetes. Abundant embalming mechanisms are drawn on to preserve the Confectionary from putrefaction over time. It is consequential to ascertain that greenhouse gas emissions by virtue of transportation, production and storage of Confectionary is susceptible to putrefaction that has to be steered up. This contemplate recommends an optimal productive repertoire replica considering the production and inventory components for commodities contingent to decline in fuzzy sense using trapezoidal neutrosophic fuzzy number. To determine the minimal overall cost, a comparative study of different cases is authenticated by working out numerical examples using models.

This paper will study the necessary conditions and sufficient conditions for the problem of orthogonality in 4-plithogenic and 5-plithogenic vector spaces, where we provided a definition of the real scalar products defined above these spaces, and we used the new concept of scalar product that was defined in determining the necessary and sufficient condition for the orthogonality of symbolic 4-plithogenic and 5-plithogenic vectors, in addition to calculating various norms and their metric properties. We have also provided some examples that aim to explain the scientific contribution of this work.

The general direction for generating any stable neutrosophic crisp topology is through base or the stable neutrosophic crisp interior concept, which is closed in the finite intersection process and not closed in the union process, likewise the stable neutrosophic crisp exterior is closed in the finite union process but not closed in finite intersection. Our research deals with finding necessary and sufficient condition for the finite union and finite intersection to be closed respectively using the concept of confused crisp sets.

In this study, we offer a hypersoft set theory-based game model for handling uncertainties. The term ”hypersoft game” refers to this newly suggested game. Four techniques of game solution are identified: hypersoft saddle points, hypersoft upper and lower values, hypersoft dominated strategy and hypersoft nash equilibrium. We build a two-person hypersoft game first. Additionally, we present real-world problems that the hypersoft saddle point approaches and hypersoft dominating strategy are used to tackle. In conclusion, we expand the hypersoft games from two players to n players.

The Weibull distribution is considered one of the important distributions used in reliability and in the distribution of survival times and in neutrosophic prediction. This paper contained an estimate of a two-parameter Weibull distribution using three estimation methods. One of these methods for estimating parameters is the traditional method, which represents the estimation of the greatest possibility, and the other two methods are estimation using the sine algorithm. and cosine (SCA) and the Ant Colony Algorithm (ACO). The simulation method was used to compare the methods, and it was found that the best method for estimating the parameters of the Weibull distribution is the sine and cosine algorithm (SCA) method. Then, real data was used, represented by the intensity of the earthquake in Japan (Richter) for the period July 1, 2023, to July 16, 2023, to estimate the rate of earthquake intensity in Japan, since Japan is one of the countries most exposed to earthquakes, and it was shown from The results are that the average magnitude of the earthquake in Japan in the period studied is 3.328593, which can be said. Weak buildings may be greatly damaged, but strong buildings are not greatly damaged. Also, a neutrosophic simulation of the same set of data will be suggested for future applications.

This work presents the concept of interval-valued neutrosophic INK-subalgebras, also known as IV N INKsubalg’s, which are the level and strong level neutrosophic INK-subalgebras. Next, we establish and validate a few theorems that establish the connection between these concepts and neutrosophic INK-subalgebras. We define the images and inverse images of IV N INK-subalgebras and study the transformations of the homomorphic images and inverse images of interval valud neutrosophic (briefly, IV N) INK-subalgebra into IV N INK-subalgebras.

Based on Zadeh’s notion of interval-valued fuzzy set, we develop in this work the notion of interval-valued neutrosophic INK-ideals (briefly, IV N INK-ideals) in INK-algebra and evaluate some of its properties. We show that all N INK-ideals of INK-algebra A can be realized as IV level INK-ideals of INK-algebra A. We then deduce numerous related results, which are summarized in the abstract.

One of the fundamental tools to guarantee compliance with environmental laws is the sanctions, which act as deterrent mechanisms against possible violations. The present study focused on evaluating public perceptions towards environmental policies and sanctions, applying a methodology that integrates neutrosophy and indeterminate Likert scales to capture the complexity of human opinions on environmental legislation. By distributing a structured questionnaire to a representative sample, data was collected and subsequently analyzed using neutrosophic logic and cluster analysis techniques. The results underlined the importance of considering indeterminacy and uncertainty in the study of public perceptions towards environmental sanctions, providing valuable data for the improvement of environmental policies and communication in this area. This study demonstrates the relevance of addressing human attitudes and behaviors toward environmental challenges inclusively and effectively.

The present paper offers a new notion of sets known as  fuzzy neutrosophic ^g-closed sets in fuzzy neutrosophic topology. It is an extended form of work conducted by Fatimah et.al. [1-3]. It investigates several properties of fuzzy neutrisophic ^ g- closed sets and explores a number of examples as to shed the light on the new characteristics of ^g-closed sets as well as some associated  relations between them with other sets.

Fuzzy sets and their various generalizations, especially neutrosophic and multineutrosophic sets, have had an essential imprint in other scientific, engineering, and applied fields. This came from the characteristics of membership functions that determine the extent to which members belong to their sets, which is an important criterion. Hence, the idea of building the optimal membership function for fuzzy set using the arithmetic mean, we called this set by partner sets of a neutrosophic set of -type.