Neutrosophic Hypersoft Matrices with Application to Solve Multiattributive Decision-Making Problems

The concept of the neutrosophic hypersoft set (NHSS) is a parameterized family that deals with the subattributes of the parameters and is a proper extension of the neutrosophic soft set to accurately assess the deficiencies, anxiety, and uncertainty in decision-making. Compared with existing research, NHSS can accommodate more uncertainty, which is the most significant technique for describing fuzzy information in the decision-making process. The main objective of the follow-up study is to develop the theory of neutrosophic hypersoft matrix (NHSM). The NHSM is the generalized form of a neutrosophic soft matrix (NSM). Some fundamental operations and score function for NHSMs have been introduced with their desirable properties. Furthermore, we introduce the logical operators such as OR-operator and AND-operator with their fundamental properties in the following research. The necessity and possibility operations for NHSMs have been established. Utilizing the developed score function, a decision-making methodology has been developed to solve the multiattribute decision-making (MADM) problem. To ensure the validity of the proposed approach, a numerical illustration has been described for the selection of competent faculty member. The practicality and effectiveness of the current approach are proved through comparative analysis with the assistance of some existing studies.

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Selection of an Effective Hand Sanitizer to Reduce COVID-19 Effects and Extension of TOPSIS Technique Based on Correlation Coefficient under Neutrosophic Hypersoft Set

Complexity ◽

10.1155/2021/5531830 ◽

2021 ◽

Vol 2021 ◽

pp. 1-22

Author(s):

Abdul Samad ◽

Rana Muhammad Zulqarnain ◽

Emre Sermutlu ◽

Rifaqat Ali ◽

Imran Siddique ◽

...

Keyword(s):

Decision Making ◽

Correlation Coefficient ◽

Correlation Coefficients ◽

Current Approach ◽

Hand Sanitizer ◽

Order Preference ◽

Multicriteria Group Decision Making ◽

Parameterized Family ◽

Topsis Technique ◽

Selection Of

Correlation coefficients are used to tackle many issues that include indistinct as well as blurred information excluding is not able to deal with the general fuzziness along with obscurity of the problems that have various information. The correlation coefficient (CC) between two variables plays an important role in statistics. Likewise, the accuracy of relevance assessment depends on the information in a set of discourses. The data collected for numerous statistical studies is full of exceptions. The concept of the neutrosophic hypersoft set (NHSS) is a parameterized family that deals with the subattributes of the parameters and is a proper extension of the neutrosophic soft set to accurately assess the deficiencies, anxiety, and uncertainty in decision-making. Compared with existing research, NHSS can accommodate more uncertainty, which is the most significant technique for describing fuzzy information in the decision-making process. The core objective of follow-up research is to develop the concept and characteristics of CC and the weighted correlation coefficient (WCC) of NHSS. We also introduced some aggregation operators in the considered environment, which can help us establish a prioritization technique for order preference by similarity to the ideal solution (TOPSIS) based on CC and WCC under NHSS. A decision-making strategy is established to solve multicriteria group decision-making (MCGDM) problems utilizing developed methodology. Moreover, the proposed method is utilized for the selection of an effective hand sanitizer during the COVID-19 pandemic to ensure the validity of the proposed approach. The practicality, effectivity, and flexibility of the current approach are proved through comparative analysis with the assistance of some existing studies.

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Multi-criteria decision-making algorithm based on aggregation operators under the complex interval-valued q-rung orthopair uncertain linguistic information

Journal of Intelligent & Fuzzy Systems ◽

10.3233/jifs-210442 ◽

2021 ◽

pp. 1-30

Author(s):

Harish Garg ◽

Zeeshan Ali ◽

Zaoli Yang ◽

Tahir Mahmood ◽

Sultan Aljahdali

Keyword(s):

Decision Making ◽

Brain Tumors ◽

Score Function ◽

Aggregation Operators ◽

Multi Criteria Decision Making ◽

Linguistic Features ◽

Interval Numbers ◽

Fundamental Properties ◽

Interval Valued

The paper aims to present a concept of a Complex interval-valued q-rung orthopair uncertain linguistic set (CIVQROULS) and investigated their properties. In the presented set, the membership grades are considered in terms of the interval numbers under the complex domain while the linguistic features are added to address the uncertainties in the data. To further discuss more, we have presented the operation laws and score function for CIVQROULS. In addition to them, we present some averaging and geometric operators to aggregate the different pairs of the CIVQROULS. Some fundamental properties of the proposed operators are stated. Afterward, an algorithm for solving the decision-making problems is addressed based on the proposed operator using the CIVQROULS features. The applicability of the algorithm is demonstrated through a case study related to brain tumors and their effectiveness is compared with the existing studies.

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New Technology in Agriculture Using Neutrosophic Soft Matrices with the Help of Score Function

10.54216/ijns.030204 ◽

2020 ◽

pp. 78-88

Author(s):

Muhammad Naveed Jafar ◽

Ahmad Raza Shafiq ◽

Muhammad Khalid ◽

Hamza Akbar ◽

Aamir Naveed ◽

...

Keyword(s):

Decision Making ◽

New Technology ◽

Score Function ◽

Uncertain Environments ◽

Scientific Experts ◽

Selection Of

Uncertainty is a big problem in our routine life. Many theories were developed to handle uncertain environments. This paper approaches the concept of neutrosophic soft matrices (NSM) and multiple types of NSM to achieve solutions to a possible problem and provide ideas to tackle other problems relating to uncertainties. Here, NSM has been utilized to demonstrate the performance of different farmers, and further score function has been implemented to solve a possible application of decision making in agriculture. It explains the selection of the best farmer by scientific experts through an algorithm in this paper. The selection based upon the better production of crop and nature, fertilizer, pesticides, etc. are used as attributes, which will contribute to the performance of each farmer. Finally, combining the attributes, which will help us achieve a conclusion to determine the best farmer.

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Revised Max-Min Average Composition Method for Decision Making Using Intuitionistic Fuzzy Soft Matrix Theory

Advances in Fuzzy Systems ◽

10.1155/2014/864074 ◽

2014 ◽

Vol 2014 ◽

pp. 1-5

Author(s):

P. Shanmugasundaram ◽

C. V. Seshaiah ◽

K. Rathi

Keyword(s):

Decision Making ◽

Matrix Theory ◽

Fuzzy Soft Set ◽

Average Composition ◽

Soft Matrix ◽

Professional Students ◽

Intuitionistic Fuzzy ◽

Composition Method ◽

Matrix Operations ◽

Selection Of

In this paper a revised Intuitionistic Fuzzy Max-Min Average Composition Method is proposed to construct the decision method for the selection of the professional students based on their skills by the recruiters using the operations of Intuitionistic Fuzzy Soft Matrices. In Shanmugasundaram et al. (2014), Intuitionistic Fuzzy Max-Min Average Composition Method was introduced and applied in Medical diagnosis problem. Sanchez’s approach (Sanchez (1979)) for decision making is studied and the concept is modified for the application of Intuitionistic fuzzy soft set theory. Through a survey, the opportunities and selection of the students with the help of Intuitionistic fuzzy soft matrix operations along with Intuitionistic fuzzy max-min average composition method is discussed.

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Some Novel Geometric Aggregation Operators of Spherical Cubic Fuzzy Information with Application

Security and Communication Networks ◽

10.1155/2021/3774353 ◽

2021 ◽

Vol 2021 ◽

pp. 1-14

Author(s):

Zafar Ullah ◽

Huma Bashir ◽

Rukhshanda Anjum ◽

Mabrook Al-Rakhami ◽

Suheer Al-Hadhrami ◽

...

Keyword(s):

Decision Making ◽

Fuzzy Numbers ◽

Score Function ◽

Membership Degree ◽

Fuzzy Information ◽

Numerical Illustration ◽

Decision Making Processes ◽

Risks Factors ◽

Excellent Tool ◽

Interval Valued

Technology is quickly evolving and becoming part of our lives. Life has become better and easier due to the technologies. Although it has lots of benefits, it also brings serious risks and threats, known as cyberattacks, which are neutralized by cybersecurities. Since spherical fuzzy sets (SFSs) and interval-valued SFS (IVSFS) are an excellent tool in coping with uncertainty and fuzziness, the current study discusses the idea of spherical cubic FSs (SCFSs). These sets are characterized by three mappings known as membership degree, neutral degree, and nonmembership degree. Each of these degrees is spherical cubic fuzzy numbers (SCFNs) such that the summation of their squares does not exceed one. The score function and accuracy function are presented for the comparison of SCFNs. Moreover, the spherical cubic fuzzy weighted geometric (SCFWG) operators and SCF ordered weighted geometric (SCFOWG) operators are established for determining the distance between two SCFNs. Furthermore, some operational rules of the proposed operators are analyzed and multiattribute decision-making (MADM) approach based on these operators is presented. These methods are applied to make the best decision on the basis of risks factors as a numerical illustration. Additionally, the comparison of the proposed method with the existing methods is carried out; since the proposed methods and operators are the generalizations of existing methods, they provide more general, exact, and accurate results. Finally, for the legitimacy, practicality, and usefulness of the decision-making processes, a detailed illustration is given.

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Robust Aggregation Operators for Intuitionistic Fuzzy Hypersoft Set With Their Application to Solve MCDM Problem

Entropy ◽

10.3390/e23060688 ◽

2021 ◽

Vol 23 (6) ◽

pp. 688

Author(s):

Rana Muhammad Zulqarnain ◽

Imran Siddique ◽

Rifaqat Ali ◽

Dragan Pamucar ◽

Dragan Marinkovic ◽

...

Keyword(s):

Decision Making ◽

Weighted Average ◽

Current Approach ◽

Aggregation Operators ◽

Multi Criteria Decision Making ◽

Sustainable Supply Chain ◽

Fuzzy Soft Set ◽

Fundamental Properties ◽

Intuitionistic Fuzzy ◽

Operational Laws

In this paper, we investigate the multi-criteria decision-making complications under intuitionistic fuzzy hypersoft set (IFHSS) information. The IFHSS is a proper extension of the intuitionistic fuzzy soft set (IFSS) which discusses the parametrization of multi-sub attributes of considered parameters, and accommodates more hesitation comparative to IFSS utilizing the multi sub-attributes of the considered parameters. The main objective of this research is to introduce operational laws for intuitionistic fuzzy hypersoft numbers (IFHSNs). Additionally, based on developed operational laws two aggregation operators (AOs), i.e., intuitionistic fuzzy hypersoft weighted average (IFHSWA) and intuitionistic fuzzy hypersoft weighted geometric (IFHSWG), operators have been presented with their fundamental properties. Furthermore, a decision-making approach has been established utilizing our developed aggregation operators (AOs). Through the established approach, a technique for solving decision-making (DM) complications is proposed to select sustainable suppliers in sustainable supply chain management (SSCM). Moreover, a numerical description is presented to ensure the validity and usability of the proposed technique in the DM process. The practicality, effectivity, and flexibility of the current approach are demonstrated through comparative analysis with the assistance of some prevailing studies.

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Approximations of pythagorean fuzzy sets over dual universes by soft binary relations

Journal of Intelligent & Fuzzy Systems ◽

10.3233/jifs-202725 ◽

2021 ◽

pp. 1-17

Author(s):

Muhammad Asim Bilal ◽

Muhammad Shabir

Keyword(s):

Decision Making ◽

Multiple Criteria Decision Making ◽

Score Function ◽

Binary Relations ◽

Pythagorean Fuzzy Set ◽

Course Of Action ◽

Proposed Model ◽

Accuracy Measure ◽

Lower And Upper Approximations ◽

Selection Of

Yager introduced the Pythagorean Fuzzy Set (PFS) to deal with uncertainty in real-world decision-making problems. Binary relations play an important role in mathematics as well as in information sciences. Soft binary relations give us a parameterized collection of binary relations. In this paper, lower and upper approximations of PFSs based on Soft binary relations are given with respect to the aftersets and with respect to the foresets. Further, two kinds of Pythagorean Fuzzy Topologies induced by Soft reflexive relations are investigated and an accuracy measure of a PFS is provided. Besides, based on the score function and these approximations of PFSs, an algorithm is constructed for ranking and selection of the decision-making alternatives. Although many MCDM (multiple criteria decision making) methods for PFSs have been proposed in previous studies, some of those cannot solve when a person is encountered with a two-sided matching MCDM problem. The proposed method is new in the literature. This newly proposed model solved the problem more accurately. The proposed method focuses on selecting and ranking from a set of feasible alternatives depending on the two-sided matching of attributes and determines a ranking based solution for a problem with conflicting criteria to help the decision-maker in reaching a final course of action.

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A novel Picture fuzzy linguistic Muirhead Mean aggregation operators and their application to Multiple Attribute Decision Making

10.21203/rs.3.rs-418738/v1 ◽

2021 ◽

Author(s):

Sidong Xian ◽

Yue Cheng ◽

Zhou Liu

Keyword(s):

Decision Making ◽

Intuitionistic Fuzzy Set ◽

Score Function ◽

Multiple Attribute Decision Making ◽

Linguistic Context ◽

Scale Functions ◽

Operational Laws ◽

Multiple Attribute ◽

Fuzzy Linguistic ◽

Selection Of

Abstract The Picture fuzzy linguistic set (PFLS) is an extension of intuitionistic fuzzy set (IFS) and linguistic variables (LVs), which has been applied successfully in the process of decision making. Considering the lack of closeness of extant PFLS operations and the interrelationship among input attributes do not considered. In this paper, for the sake of addressing those limitations, we firstly redefine some novel operational laws for PFLS by introducing linguistic scale functions and the related properties are studied. Then, new score function and accuracy function are also defined to compare PFLSs. Subsequently, in consideration of the superiority of Muirhead Mean (MM) operator in capturing the interaction relationship between the input parameters, we extend the MM operator to the picture fuzzy linguistic context, and then propose picture fuzzy linguistic weighted MM operator and its dual form in a new light. After that, we have adopted these operators to build two novel models to solve multiple attribute decision making (MADM) problems. Finally, a practical example for the selection of the innovative ``Mobike'' sharing bike design is provided to illustrate the practicality and effectiveness of our developed approaches.

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Group decision-making for the selection of an antivirus mask under fermatean fuzzy soft information

Journal of Intelligent & Fuzzy Systems ◽

10.3233/jifs-201760 ◽

2021 ◽

Vol 40 (1) ◽

pp. 1401-1416

Author(s):

Gulfam Shahzadi ◽

Muhammad Akram

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Weighted Average ◽

Soft Information ◽

Fuzzy Soft Set ◽

Fundamental Properties ◽

Basic Purpose ◽

Ordered Weighted Average ◽

Selection Of

With the rapid increase of COVID-19, mostly people are facing antivirus mask shortages. It is necessary to select a good antivirus mask and make it useful for everyone. For maximize the efficacy of the antivirus masks, we propose a decision support algorithm based on the concept of Fermatean fuzzy soft set (FFSfS). The basic purpose of this article is to introduce the notion of FFSfS to deal with problems involving uncertainty and complexity corresponding to various parameters. Here, the valuable properties of FFSfS are merged with the Yager operator to propose four new operators, namely, Fermatean fuzzy soft Yager weighted average (FFSfYWA), Fermatean fuzzy soft Yager ordered weighted average (FFSfYOWA), Fermatean fuzzy soft Yager weighted geometric (FFSfYWG) and Fermatean fuzzy soft Yager ordered weighted geometric (FFSfYOWG) operators. The fundamental properties of proposed operators are discussed. For the importance of proposed operators, a multi-attribute group decision-making (MAGDM) strategy is presented along with an application for the selection of an antivirus mask over the COVID-19 pandemic. The comparison with existing operators shows that existing operators cannot deal with data involving parametric study but developed operators have the ability to deal decision-making problems using parameterized information.

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Multicriteria Decision-Making Approach for Aggregation Operators of Pythagorean Fuzzy Hypersoft Sets

Computational Intelligence and Neuroscience ◽

10.1155/2021/2036506 ◽

2021 ◽

Vol 2021 ◽

pp. 1-19

Author(s):

Imran Siddique ◽

Rana Muhammad Zulqarnain ◽

Rifaqat Ali ◽

Fahd Jarad ◽

Aiyared Iampan

Keyword(s):

Decision Making ◽

Weighted Average ◽

Multicriteria Decision Making ◽

Aggregation Operators ◽

Fuzzy Soft Set ◽

Multicriteria Decision ◽

Fundamental Properties ◽

Operational Laws ◽

Shift Invariance ◽

Parameterized Family

The Pythagorean fuzzy hypersoft set (PFHSS) is the most advanced extension of the intuitionistic fuzzy hypersoft set (IFHSS) and a suitable extension of the Pythagorean fuzzy soft set. In it, we discuss the parameterized family that contracts with the multi-subattributes of the parameters. The PFHSS is used to correctly assess insufficiencies, anxiety, and hesitancy in decision-making (DM). It is the most substantial notion for relating fuzzy data in the DM procedure, which can accommodate more uncertainty compared to available techniques considering membership and nonmembership values of each subattribute of given parameters. In this paper, we will present the operational laws for Pythagorean fuzzy hypersoft numbers (PFHSNs) and also some fundamental properties such as idempotency, boundedness, shift-invariance, and homogeneity for Pythagorean fuzzy hypersoft weighted average (PFHSWA) and Pythagorean fuzzy hypersoft weighted geometric (PFHSWG) operators. Furthermore, a novel multicriteria decision-making (MCDM) approach has been established utilizing presented aggregation operators (AOs) to resolve decision-making complications. To validate the useability and pragmatism of the settled technique, a brief comparative analysis has been conducted with some existing approaches.

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