International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

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2690-6805ISSN (Online) 2692-6148ISSN (Print)

Partner Sets for Generalizations of MultiNeutrosophic Sets

Tuqa A. H. Al-Tamimi , Luay A. A. Al-Swidi , Ali H. M. Al-Obaidi

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.

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Doi: https://doi.org/10.54216/IJNS.240101

Vol. 24 Issue. 1 PP. 08-13, (2024)

Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology

Hajar Y. Mohammed , Fatimah M. Mohammed , Ghada Al-mahbashi

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.

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Doi: https://doi.org/10.54216/IJNS.240102

Vol. 24 Issue. 1 PP. 14-23, (2024)

Neutrosophic Likert Scale for Evaluating Environmental Sanctions

Iyo A. Cruz Piza , Manuel Ricardo Velásquez , Javier D. Bosquez Remache , Marina Abdurashidova

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.

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Doi: https://doi.org/10.54216/IJNS.240103

Vol. 24 Issue. 1 PP. 24-34, (2024)

Interval Valued Neutrosophic INK-Ideal Via INK-Algebra

R. Rajakumari , KR. Balasubramanian , A. Vadivel

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.

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Doi: https://doi.org/10.54216/IJNS.240104

Vol. 24 Issue. 1 PP. 35-50, (2024)

Interval Valued Neutrosophic Subalgebra in INK-Algebra

R. Rajakumari , KR. Balasubramanian , A. Vadivel

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.

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Doi: https://doi.org/10.54216/IJNS.240105

Vol. 24 Issue. 1 PP. 51-64, (2024)

Optimizing Weibull Distribution Parameters for Improved Earthquake Modeling in Japan: A Comparative Approach

Inam Abdul Rahman Noaman , Arshad Hameed Hasan , Shaymaa Mohammed Ahmed

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.

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Doi: https://doi.org/10.54216/IJNS.240106

Vol. 24 Issue. 1 PP. 65-73, (2024)