Cosine trigonometric rules applied to average and geometric aggregating operators using extension q-rung interval-valued neutrosophic set approach.

M.; K.; Aiyared

doi:https://doi.org/10.54216/IJNS.240321

Pure Mathematics for Theoretical Computer Science | 2023

A Review on the Structure of Fuzzy Regular Proper Mappings in Fuzzy Topological Spaces and Their Properties

 The purpose of this paper is construct the concept of fuzzy regular proper mapping in fuzzy topological spaces. We give some characterization of fuzzy regular compact mapping and fuzzy regular coercive mapping. We study the relation among the concepts of fuzzy regular proper mapping, fuzzy regular compact mapping and fuzzy regular coercive mapping and we obtained several properties.

groups

Murat Ozcek mail

link https://doi.org/10.54216/PMTCS.030205

Volume & Issue

Vol. Volume 3 / Iss. Issue 2

Details open_in_new

International Journal of Neutrosophic Science | 2024

New Concepts in Partner Multineutrosophic Topological Space

We have new introduced two fundamental new concept that characterize partner multineutrosophic sets, the first of which we call the locally partner multineutrosophic interior and the second the locally partner fuzzy exterior, in addition to a concept related to set composition that we call detachable set, with the most important relationships to which these concept are linked and the properties that we have reached with an analytical view of them.  

groups

Tuqa A. H. Al-Tamimi mail -

Luay A. A. Al-Swidi mail -

Ali H. M. Al-Obaidi mail

link https://doi.org/10.54216/IJNS.240315

Volume & Issue

Vol. Volume 24 / Iss. Issue 3

Details open_in_new

International Journal of Neutrosophic Science | 2024

Strategic Decision-Making Enhancement Framework (SDE-Framework): Leveraging Neutrosophic Logic and Fuzzy Mathematics for Optimized Outcomes in IT Management and Computational Systems

The created SDE-Framework combines neutronosophic logic and fuzzy mathematics in a novel method, aiming at facilitating more informed decision outcomes in computational systems and information technology management. This method hopes to aid in determining strategic solutions by controlling the expected sophistication and ambiguity in these two technologically dynamic industries. Neutronosophic logic divides data into three components: truth, indeterminacy, and falsity, build an exhaustive technique for addressing contradiction and indeterminacy. This significantly increases the method by enabling a more complete exploration of potential options with ambiguous and inadequate data. Second, the fuzzy mathematics gives a valuable contribution. It offers a refined method for managing the levels of probability and certainty through membership features, resulting in more exact and flexible evaluations. By the usage of such compared sophisticated mathematics concepts, SDE-Framework addresses potential decision-making scenarios by letting the computer formulates do the judgements for the determinable and in determinable explicit data. The subsequent crucial parameters are adopted to tolerance values: validity and responsibility, falseness foreach, indeterminacy magnitude to each, and truth value. This guarantees its combination of complexity supportive rand reading of actual surroundings.

groups

Manjula G. J. mail -

Shaik Khaja Mohiddin mail -

A. P. Pushpalatha mail -

Vadali Srinivas mail -

M. Premalatha mail -

Sakthi R. mail

link https://doi.org/10.54216/IJNS.240316

Volume & Issue

Vol. Volume 24 / Iss. Issue 3

Details open_in_new

International Journal of Neutrosophic Science | 2024

Neutrosophic Fuzzy Numbers and its Impact on Transportation Problem

The neutrosophic fuzzy set offers us a broad outline for combining several existing sets into one. Indeterminate and unpredictable data cannot be dealt with by either the fuzzy set theory or intuitionistic fuzzy set theory. The computing techniques of neutrosophic sets are valid for software development for many uses. The transportation problem profoundly depends on the neutrosophic fuzzy set. Most of the time, the data provided is indeterminate and inconsistent. At this point of time, we cannot make use of the fuzzy set and intutionistic fuzzy set to  get deal with this indeterminacy. Here, we have solved numerically to reflect the impact of neutrosophic pentagonal numbers and neutrosophic octagonal numbers. The efficiency of the method is applied is also compared with the other methods.

groups

Krishnaveni G. mail -

Balaganesan M. mail -

Melita Vinoliah E. mail -

Sudha G. mail

link https://doi.org/10.54216/IJNS.240317

Volume & Issue

Vol. Volume 24 / Iss. Issue 3

Details open_in_new

International Journal of Neutrosophic Science | 2024

Generalized p-Transmuted Neutrosophic Distributions: Theory and its Applications

The study of neutrosophy offers a fresh approach for handling uncertain data with adaptability. This article explores the application of neutrosophic probability distribution in constructing a transmuted neutrosophic framework. Specifically, it introduces a generalized transmuted neutrosophic distribution. Building upon this generalization, quadratic and cubic transmuted distributions are developed and examined alongside certain lifetime distributions serving as foundational neutrosophic models. Additionally, an empirical investigation is conducted to assess the practicality and versatility of these distributions in real-world contexts.

groups

Abdul Kani Jabarali mail -

K. Mohana mail -

David Winster Praveenraj Devanayan mail -

Ajitha Krishnaprasad mail -

D. Sandhya mail -

Pradeep Kumar SV mail

link https://doi.org/10.54216/IJNS.240318

Volume & Issue

Vol. Volume 24 / Iss. Issue 3

Details open_in_new

International Journal of Neutrosophic Science | 2024

Extension of arithmetic and geometric aggregating operators using new type interval-valued neutrosophic sets.

The purpose of this article is to present a novel approach to the (δ,ε)  interval-valued neutrosophic set (IVNS). This is an extension of the IVNS. As a result of this article, we will discuss the concept of (δ,ε)   interval valued neutrosophic weighted averaging (IVNWA), (δ,ε)  interval-valued neutrosophic weighted geometric (IVNWG), (δ,ε)  generalized interval-valued neutrosophic weighted averaging (GIVNWA) and (δ,ε)  generalized interval-valued neutrosophic weighted geometric (GIVNWG). Additionally, the (δ,ε) IVNS approach is characterized by idempotency, boundedness, commutativity and monotonicity.

groups

M. Palanikumar mail -

T. T. Raman mail -

A. Swaminathan mail -

Aiyared Iampan mail

link https://doi.org/10.54216/IJNS.240319

Volume & Issue

Vol. Volume 24 / Iss. Issue 3

Details open_in_new

Galoitica: Journal of Mathematical Structures and Applications | 2024

Local Search Algorithms For Solving A Function With Five-Objectives And Release Dates on One-Machine

In this research, the issue of scheduling n-jobs on one-machine is represented to minimize Five-Objectives-Function (FOF), for finding approximation solutions for the sum of completion time, total tardiness, total earliness, number of late jobs and late work with release date, this issue denoted by:   Hanan and Hussein used a branch and bound technique (B-a-B) to discovery an optimal solution path. Computational results showed the (B-a-B) technique was efficient in solving issues with up to (16- jobs). Because our issue is of a very difficult type (NP-hard), we suggest local search algorithms to discovery near optimal solution.  The execution of local search techniques can be tested on large group of test issues. Computational results showed with up to (30000 jobs) in acceptable time.

groups

Hussein Abdullah Jaafar mail -

Hanan Ali Chachan mail

link https://doi.org/10.54216/GJMSA.0100204

Volume & Issue

Vol. Volume 10 / Iss. Issue 2

Details open_in_new

Fusion: Practice and Applications | 2024

Efficient Sink Node Position Estimation using Harris Hawks Optimization Algorithm in Wireless Sensor Networks

Wireless sensor network (WSN) was utilized widely in numerous areas owing to their accessibility in data collection, processing, and transmission, and the strength and reliability of data processing and transmission are based on the accuracy of the positions of sensor nodes (SNs) in the WSN. Sink node location estimation in WSN is a vital task intended to define the geographical position of the sink node in the network area of coverage. This procedure normally includes using numerous localization techniques that trust data like received signal strength, arrival time, time variance of arrival, or angle of arrival from adjacent SNs. The accuracy of sink node localization directly influences the efficiency of data aggregation, routing procedures, and complete performance of the network in tasks like environmental monitoring, target tracking, and event recognition. As WSNs are frequently used in remote environments where physical involvement is unusable, an effective and accurate sink node localization model plays a vital part in certifying the network's longevity and reliability. This study develops an Efficient Sink Node Position Estimation using the Harris Hawks Optimization (SNPE-HHO) Algorithm in WSN. The main intention of the SNPE-HHO technique is to recognize the optimal position of the sink node in the network. To achieve this, the SNPE-HHO technique employs the HHO system which gets inspiration from the hunting tactics of Harris Hawk. Moreover, the SNPE-HHO technique computes a fitness function that can drive the searching direction of the HHO algorithm and enhance the node estimation performance. The performance analysis of the SNPE-HHO method is verified by utilizing distinct metrics. The experimentation values confirmed the improved estimation performance of the SNPE-HHO technique over other existing methods

groups

R. Padmaraj mail -

K. Selvakumar mail

link https://doi.org/10.54216/FPA.160116

Volume & Issue

Vol. Volume 16 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2024

On the Compactness and Continuity of Uryson's Operator in Orlicz Spaces

Uryson's operators are very famous in the theory of fuzzy functional analysis. This paper is dedicated to studying and generalizing many results about the compactness and the continuity of Uryson's operator in two-variables defined with integral equation on G with the norm ‖u‖f= sup(ρ(v,f)≤) |∫u(x)v(x)dxG |   ;v(x)∈L*g   ,u(x)∈Lf*. Also, we study the convergence of Urysons' sequences Kn defined with the family of functions Kn (x, y; u) by using the convergence with respect to the defined measure and Caratheodory Condition.

groups

Raed Hatamleh mail

link https://doi.org/10.54216/IJNS.240320

Volume & Issue

Vol. Volume 24 / Iss. Issue 3

Details open_in_new

International Journal of Neutrosophic Science | 2024

Cosine trigonometric rules applied to average and geometric aggregating operators using extension q-rung interval-valued neutrosophic set approach.

We introduce the concept of cosine trigonometric q-rung Diophantine neutrosophic interval-valued set (CosTq-rung DioNSIVS). The fact that CosTq-rung DioNSIVS combines q-rung neutrosophic interval-valued set, q-rung neutrosophic set and neutrosophic interval-valued set is one of its distinguishing characteristics. A new idea of CosTq-rung DioNSIVWA, CosTq-rung DioNSIVWG, GCosTq-rung DioNSIVWA and GCosTq-rung DioNSIVWG is proposed in this study. We also look at the idempotency, boundedness, commutativity, and monotonicity of the CosTq-rung DioNSIVS based on algebraic operations. We considered new kinds of two distances in the proposed models, besides Euclidean and Hamming distances. The CosTq-rung DioNSIVS method was used to analyze the cosine trigonometric aggregation procedures. The study's concluding results include several fascinating and captivating discoveries.

groups

M. Palanikumar mail -

K. Arulmozhi mail -

Aiyared Iampan mail

link https://doi.org/10.54216/IJNS.240321

Volume & Issue

Vol. Volume 24 / Iss. Issue 3

Details open_in_new