Fuzzy sets and their variants
New view of fuzzy aggregations. Part III: extensions of the FPOWA operator in the problem of political management

Gia Sirbiladze

Volume 2, Issue 4 , December 2021, , Pages 321-333


  The Ordered Weighted Averaging (OWA) operator was introduced by Yager [34] to provide a method for aggregating inputs that lie between the max and min operators. In this article we continue to present some extensions of OWA-type aggregation operators. Several variants of the generalizations of the ...  Read More

Soft sets and their variants
A survey on different definitions of soft points: limitations, comparisons and challenges

Mujahid Abbas; Yanhui Guo; Ghulam Murtaza

Volume 2, Issue 4 , December 2021, , Pages 334-343


  The aim of this paper is to investigate different definitions of soft points in the existing literature on soft set theory and its extensions in different directions. Then limitations of these definitions are illustrated with the help of examples. Moreover, the definition of soft point in the setup of ...  Read More

Fuzzy sets and their variants
A decision-making system for Corona prognosis using fuzzy inference system

Shaveta Arora; Renu Vadhera; Bharti Chugh

Volume 2, Issue 4 , December 2021, , Pages 344-354


  COVID-19, an epidemic disease, has challenged human lives all over the world. Governments and scientific communities are trying their level best to help the masses. This disease which is caused by corona virus majorly attacks the upper respiratory system rendering the human immunity incapacitated and, ...  Read More

Spherical fuzzy sets
Spherical fuzzy cross entropy for multiple attribute decision making problems

Princy Rayappan; Krishnaswamy Mohana

Volume 2, Issue 4 , December 2021, , Pages 355-363


  In this paper, we investigate the multiple attribute decision making problems with spherical fuzzy information. The advantage of spherical fuzzy set is easily reflecting the ambiguous nature of subjective judgments because the spherical fuzzy sets are suitable for capturing imprecise, uncertain and inconsistent ...  Read More

Hesitant fuzzy sets and their variants
Solution procedure for multi-objective fractional programming problem under hesitant fuzzy decision environment

Madineh Farnam; Majid Darehmiraki

Volume 2, Issue 4 , December 2021, , Pages 364-376


  For the three last decades, the multi-objective fractional programming problem has attracted the attention of many researchers due to various applications in production planning, financial field, and inventory management, and so on. The main aim of this study is to introduce a new application of hesitant ...  Read More

Intuitionistic fuzzy sets and their variants
Some results on certain properties of intuitionistic fuzzy sets

Jaydip Bhattacharya

Volume 2, Issue 4 , December 2021, , Pages 377-387


  An operator is a special symbol for performing a specific function. Several operators like modal operators, topological operators, level operators, etc. have been defined over intuitionistic fuzzy sets. At the same time, so many operations were introduced and studied. The key objective of this paper ...  Read More

Neutrosophic sets and their variants
A neutrosophic Student’s t –type of statistic for AR (1) random processes

Athanase Polymenis

Volume 2, Issue 4 , December 2021, , Pages 388-393


  Neutrosophic statistics are used when one is dealing with imprecise and indeterminate data or parameters. In the present paper we propose a method for performing a neutrosophic Student’s t –type of statistical test that concerns the population mean when data arise from an autoregressive process ...  Read More

D- numbers and their variants
Supplier selection using fuzzy AHP method and D-numbers

Payam Shafi Salimi; Seyyed Ahmad Edalatpanah

Volume 1, Issue 1 , March 2020, , Pages 1-14


  Success in supply begins with the right choice of suppliers and in the long run is directly related to how suppliers are managed, because suppliers have a significant impact on the success or failure of a company. Multi-criteria decisions are approaches that deal with ranking and selecting one or more ...  Read More

Plithogenic sets and their variants
New Plithogenic sub cognitive maps approach with mediating effects of factors in COVID-19 diagnostic model

Nivetha Martin; R. Priya; Florentin Smarandache

Volume 2, Issue 1 , March 2021, , Pages 1-15


  The escalation of COVID-19 curves is high and the researchers worldwide are working on diagnostic models, in the way this article proposes COVID-19 diagnostic model using Plithogenic cognitive maps. This paper introduces the new concept of Plithogenic sub cognitive maps including the mediating effects ...  Read More

Fuzzy sets and their variants
A fuzzy multi objective inventory model of demand dependent deterioration including lead time

Satya Kumar Das

Volume 3, Issue 1 , March 2022, , Pages 1-18


  In this article, we have developed a deteriorated multi-item inventory model in a fuzzy environment. Here the demand rate is constant. Production cost and set-up cost are the most vital issue in the inventory system of the market world. Here production cost and set-up- cost are continuous functions of ...  Read More

Fuzzy sets and their variants
The nilpotent ( p-group) of (D25 X C2n) for m > 5

Sunday Adesina Adebisi; Mike Ogiugo; Michael Enioluwafe

Volume 4, Issue 1 , March 2023, , Pages 1-7


  Every finite p-group is nilpotent. The nilpotence property is an hereditary one. Thus, every finite p-group possesses certain remarkable characteristics. Efforts are carefully being intensified to calculate, in this paper, the explicit formulae for the number of distinct fuzzy subgroups of the cartesian ...  Read More

Neutrosophic sets and their variants
The dynamic interplay of opposites in zoroastrianism

Florentin Smarandache

Volume 5, Issue 1 , March 2024, , Pages 1-15


  This exploration addresses some aspects of Zoroastrianism, examining how the ancient Persian belief system aligns with the dynamic and indeterminate principles of  Fuzzy, Neutrosophic, and MultiAlist systems. Zoroastrianism, rooted in the eternal struggle between good and evil, light and darkness, ...  Read More

Boolean-valued fuzzy sets and their variants
Global domination in fuzzy graphs using strong arcs

O. T Manjusha

Volume 4, Issue 1 , March 2023, , Pages 8-17


  Sampathkumar [7] has been introduced the notion of global domination in graphs. Nagoorgani and Hussain [24] have introduced the concept of global domination in fuzzy graphs using effective arcs. This paper presents global domination in fuzzy graphs using strong arcs. The strong global domination number ...  Read More

Intuitionistic fuzzy sets and their variants
A new approach for ranking of intuitionistic fuzzy numbers

Suresh Mohan; Arun Prakash Kannusamy; Vengataasalam Samiappan

Volume 1, Issue 1 , March 2020, , Pages 15-26


  The concept of an intuitionistic fuzzy number (IFN) is of importance for representing an ill-known quantity. Ranking fuzzy numbers plays a very important role in the decision process, data analysis and applications. The concept of an IFN is of importance for quantifying an ill-known quantity. Ranking ...  Read More

Neutrosophic sets and their variants
A study of maximal and minimal ideals of n-refined neutrosophic rings

Mohammad Abobala

Volume 2, Issue 1 , March 2021, , Pages 16-22


  If R is a ring, then Rn(I) is called a refined neutrosophic ring. Every AH-subset of Rn(I) has the form P = ∑ni=0 p i Ii= {a0+a1I+⋯+anIn: ai∈p i}, where p i are subsets of the classical ring R. The objective of this paper is to determine the necessary and sufficient conditions on p i which ...  Read More

Fuzzy sets and their variants
Integration research of blockchain and social networks in rural management systems under fuzzy cognitive environment

Wencun Wang; Jun Yao; Di Zhao; Can Huang

Volume 5, Issue 1 , March 2024, , Pages 16-34


  This study investigates integrating and optimizing an intelligent rural management system leveraging advanced technologies, including the Internet of Things (IoT), blockchain, and social networks. Initially, it identifies and scrutinizes prevailing issues in rural development processes, emphasizing the ...  Read More

Fuzzy multisets and their variants
Fuzzy metric topology space and manifold

Mahdi Mollaei Arani

Volume 4, Issue 1 , March 2023, , Pages 18-27


  This paper, considers the fuzzy topological subsets, fuzzy topological spaces and introduces a novel concept of fuzzy Hausdorff space and fuzzy manifold space in this regards. Based on these concepts, we present a concept of fuzzy metric Hausdorff spaces and fuzzy metric manifold spaces via the notations ...  Read More

Linguistic term sets and their variants
Fuzzy FMEA model: a case study to identify rejection and losses in fibre industry

Mayank Jatwa; V K Sukhwani

Volume 3, Issue 1 , March 2022, , Pages 19-30


  The growing competition between fibre producing industry and the standards to which, it requires high quality standards. ABC company’s procurement department data shows N of number of defects in cellulose pulp sheet uncurl every month. Cellulose sheet is an important raw material in the fibre (Staple) ...  Read More

Neutrosophic sets and their variants
Neutrosophic soft matrices and its application in medical diagnosis

Mamoni Dhar

Volume 2, Issue 1 , March 2021, , Pages 23-32


  In real life situations, there are many issues in which we face uncertainties, vagueness, complexities and unpredictability. Neutrosophic sets are a mathematical tool to address some issues which cannot be met using the existing methods. Neutrosophic soft matrices play a crucial role in handling indeterminant ...  Read More

Neutrosophic sets and their variants
Application of transportation problem under pentagonal neutrosophic environment

Sapan Kumar Das

Volume 1, Issue 1 , March 2020, , Pages 27-40


  The paper talks about the pentagonal Neutrosophic sets and its operational law. The paper presents the cut of single valued pentagonal Neutrosophic numbers and additionally introduced the arithmetic operation of single-valued pentagonal Neutrosophic numbers. Here, we consider a transportation problem ...  Read More

Pythagorean fuzzy sets and their variants
Spherical distance measurement method for solving MCDM problems under Pythagorean fuzzy environment

Amal Kumar Adak; Gaurikant Kumar

Volume 4, Issue 1 , March 2023, , Pages 28-39


  Multiple Criteria Decision Analysis (MCDA) has been widely investigated and successfully applied to many fields,owing to its great capability of modeling the process of actual decision-making problems and establishing proper evaluation and assessment mechanisms. With the development of management and ...  Read More

Fuzzy sets and their variants
Application of the fuzzy inference system to evaluate the quality of air textured warp yarn

Umutgül Bulut; Eren Ozceylan

Volume 3, Issue 1 , March 2022, , Pages 31-44


  It has become one of the indispensable conditions to continuously improve the quality and achieve the quality standards in order to adapt to the increasingly competitive environment in the textile industry. However, the textile production process like many other industrial processes involves the interaction ...  Read More

Neutrosophic sets and their variants
Neutrosophication of statistical data in a study to assess the knowledge, attitude and symptoms on reproductive tract infection among women

Somen Debnath

Volume 2, Issue 1 , March 2021, , Pages 33-40


  Statistics mainly concerned with data that may be qualitative or quantitative. Earlier we have used the notion of statistics in the classical sense where we assign values that are crisp. But in reality, we find some areas where the crisp concept is not sufficient to solve the problem. So, it seems difficult ...  Read More

Soft sets and their variants
Theoretical approaches of interval-valued fuzzy code and fuzzy soft code

Masresha Wassie Woldie; Jejaw Demamu Mebrat; Mihret Alamneh Taye

Volume 5, Issue 1 , March 2024, , Pages 35-47


  In this study, we attempted to demonstrate the interval-valued fuzzy code by extending the concept of an interval-valued fuzzy set. Further, we discussed the operations of the interval-valued fuzzy code. The interval-valued fuzzy soft code is introduced, and various related properties are investigated ...  Read More

Neutrosophic sets and their variants
On some related concepts n-cylindrical fuzzy neutrosophic topological spaces

Sarannya Kumari R; Sunny Joseph Kalayathankal; Mathews M George; Florentin Smarandache

Volume 4, Issue 1 , March 2023, , Pages 40-51


  The objective of this study is to incorporate topological space into the realm of n- Cylindrical Fuzzy Neutrosophic Sets (n-CyFNS), which are the most novel type of fuzzy neutrosophic sets. In this paper, we introduce  n-cylindrical Fuzzy neutrosophic topological spaces (n-CyFNTS), n- CyFN ...  Read More