scholarly journals An Arithmetic Mean of FSM in Making Decision

2019 ◽  
Vol 8 (4) ◽  
pp. 8578-8580
Keyword(s):  
Decision Making ◽  
Arithmetic Mean ◽  
Soft Matrix ◽  
Rainfall Level

This paper is to forward the notion of FSM. We use fuzzy soft matrix as to take decision in the rainfall level for five years. So many functions are expanded in the fuzzy soft matrices. Here we conclude the arithmetic mean of fuzzy soft matrices in decision making.

New expected impact functions and algorithms for modeling games under soft sets

2020 ◽  
Vol 39 (3) ◽  
pp. 4463-4472
Author(s):  
Irfan Deli ◽  
Hoang Viet Long ◽  
Le Hoang Son ◽  
Raghvendra Kumar ◽  
Arindam Dey
Keyword(s):  
Decision Making ◽  
Nash Equilibrium ◽  
Model Theory ◽  
Saddle Points ◽  
Soft Set ◽  
Soft Sets ◽  
Matrix Games ◽  
Soft Matrix ◽  
Dominated Strategies

Soft set is the power tool to deal with uncertainty in a parametric manner. In applications of soft set, one of the most important steps is to define mappings on soft sets. In this study, we model theory of game under theory of soft set which is an effective tool for handling uncertainties events and problems that may exist in a game. To this end, we first define some expected impact functions of players in soft games. Then, we propose three new decision making algorithms to solve the 2.2 × p, 2 . n × p and m . 2 × p soft matrix games, which cannot be settled by the relevant soft methods such as saddle points, lover and upper values, dominated strategies and Nash equilibrium. The proposed soft game algorithms are illustrated by examples.

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

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.

On scales and decision-making based on arithmetic mean

2005 ◽  
Vol 38 (5) ◽  
pp. 559-575 ◽  
Author(s):  
Adrian Ieta ◽  
Gheorghe Silberberg ◽  
Zdenek Kucerovsky ◽  
William D. Greason
Keyword(s):  
Decision Making ◽  
Arithmetic Mean

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

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Rana Muhammad Zulqarnain ◽  
Imran Siddique ◽  
Rifaqat Ali ◽  
Fahd Jarad ◽  
Abdul Samad ◽  
...  
Keyword(s):  
Decision Making ◽  
Score Function ◽  
Current Approach ◽  
Numerical Illustration ◽  
Soft Matrix ◽  
Logical Operators ◽  
Fundamental Properties ◽  
Parameterized Family ◽  
Selection Of

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.

Interval basic uncertain information and related aggregations in decision making

2021 ◽  
pp. 1-8
Author(s):  
LeSheng Jin ◽  
Radko Mesiar ◽  
Ronald Yager ◽  
Sema Kayapinar Kaya
Keyword(s):  
Decision Making ◽  
Arithmetic Mean ◽  
Information Environment ◽  
Uncertain Information ◽  
Rule Based ◽  
Weighted Arithmetic ◽  
Multi Criteria Evaluation

The recently proposed basic uncertain information can directly present numerical uncertainties for given real values, but it cannot handle given interval values which themselves also have uncertainties. Against this background, this work proposes the concept of interval basic uncertain information which serves as a generalization of basic uncertain information and involves two types of uncertainties. We analyze some basic operations, weighted arithmetic mean and preference transformation for interval basic uncertain information. The Rule-based decisions and the comprehensive certainty of interval basic uncertain information are also discussed. An illustrative example of multi-source multi-criteria evaluation under interval basic uncertain information environment is presented.

Cardinality inverse soft matrix theory and its applications in multicriteria group decision making

2018 ◽  
Vol 34 (3) ◽  
pp. 2031-2049 ◽  
Author(s):  
Hüseyin Kamacı ◽  
Kader Saltık ◽  
Hürmet Fulya Akız ◽  
Akın Osman Atagün
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Matrix Theory ◽  
Group Decision ◽  
Soft Matrix ◽  
Multicriteria Group Decision Making

scholarly journals Group Decision Making using Interval-Valued Intuitionistic Fuzzy Soft Matrix and Confident Weight of Experts

2014 ◽  
Vol 4 (1) ◽  
pp. 57-77 ◽  
Author(s):  
Sujit Das ◽  
Samarjit Kar ◽  
Tandra Pal
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Intuitionistic Fuzzy Set ◽  
Real Life ◽  
Soft Sets ◽  
Soft Matrix ◽  
Intuitionistic Fuzzy ◽  
Multiple Attribute ◽  
Interval Valued

Abstract This article proposes an algorithmic approach for multiple attribute group decision making (MAGDM) problems using interval-valued intuitionistic fuzzy soft matrix (IVIFSM) and confident weight of experts. We propose a novel concept for assigning confident weights to the experts based on cardinals of interval-valued intuitionistic fuzzy soft sets (IVIFSSs). The confident weight is assigned to each of the experts based on their preferred attributes and opinions, which reduces the chances of biasness. Instead of using medical knowledgebase, the proposed algorithm mainly relies on the set of attributes preferred by the group of experts. To make the set of preferred attributes more important, we use combined choice matrix, which is combined with the individual IVIFSM to produce the corresponding product IVIFSM. This article uses IVIFSMs for representing the experts’ opinions. IVIFSM is the matrix representation of IVIFSS and IVIFSS is a natural combination of interval-valued intuitionistic fuzzy set (IVIFS) and soft set. Finally, the performance of the proposed algorithm is validated using a case study from real life

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