Frank Aggregation Operators in Decision Making

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Questions and Answers

Who is the author of the thesis?

Chitra R

What degree is being pursued by Chitra R?

Master of Science

Postgraduate Diploma

Doctor of Philosophy (correct)

Bachelor of Science

Who supervised Chitra R's research?

Dr. K. Prabakaran

Did Chitra R submit the thesis to multiple institutions?

False Signup and view all the answers

Which department is Chitra R affiliated with?

Department of Mathematics Signup and view all the answers

What was the purpose of the thesis?

To discuss the significance of Frank aggregation operators for multi-attribute decision making in the q-rung picture fuzzy context. Signup and view all the answers

Chitra R has not published any research papers.

False Signup and view all the answers

What type of check was certified regarding the thesis contents?

Plagiarism check Signup and view all the answers

What is a key property of the Frank t-norm?

It is influenced by a parameter m. Signup and view all the answers

The union of two fuzzy sets J˘1 and J˘2 is represented by a t-norm function.

False Signup and view all the answers

What is the output of the t-conorm function Uf when given inputs p and 0?

p Signup and view all the answers

The operation of the fuzzy intersection is represented by a __________.

t-norm Signup and view all the answers

Match the following properties with their corresponding fuzzy set operations:

Boundary condition = Fuzzy intersection (t-norm) Idempotency = Frank t-conorm Monotonicity = Both t-norm and t-conorm Commutativity = Frank t-norm Signup and view all the answers

Which of the following individuals provided expert guidance in technical tools for the research?

Dr.D.Prakash Signup and view all the answers

Chitra R expressed gratitude only to the faculty and management at SRM Institute of Science and Technology.

False Signup and view all the answers

What is the relationship of Mr.S.Rameshbabu to Chitra R?

Father Signup and view all the answers

Chitra R thanked _____ for providing necessary resources pertaining to her research work.

Dr.P.Rajendran Signup and view all the answers

Match the following individuals with their contributions:

Dr.B.Neppolian = Dean Research, cooperative support Dr.A.Govindarajan = Support at the initial stage of research Dr.V.Subburayan = Humble regard during the research period Dr.Narasu Sivakumar = Caring support and advice Signup and view all the answers

Study Notes

Thesis Title and Details

Significance of Frank Aggregation Operators for Multi Attribute Decision Making in the q-Rung Picture Fuzzy Context
A thesis submitted by Chitra R
In partial fulfillment of the requirements for the degree of Doctor of Philosophy
Submitted to SRM Institute of Science and Technology, Kattankulathur, September 2024

Chapters

Chapter 1: Introduction
- Background and Motivation
- Exploring fuzzy sets and their extensions
- Navigating essentials of t-norm, t-conorm, and aggregation operations
- Frank Norm
- Aggregation Operations
- Multi Attribute Decision Making
- Literature Review
- Overview of the Thesis
Chapter 2: Employing q-rung Picture Fuzzy Frank Aggregation Operators for Decision-Making
- Introduction
- Key Concepts
- Results and Discussion
  - MADM Method in the q-rung Picture Fuzzy Framework
  - Practical Instance
  - Examining the Influence of Parameters m and q on Decision Outcomes
  - Comparative Analysis
- Conclusion
Chapter 3: Ordering q-rung Picture Fuzzy Numbers by Possible Grading Technique and its Utilization in Decision-Making Problem
- Introduction
- Key Concepts
- Possible Grading Technique
- Results and Discussion
  - Mathematical approach to solve MADM using Possible Grading Technique
  - Practical Instance
  - Examining the influence of parameters ğ and m on decision outcomes
  - Comparative Analysis
- Conclusion
Chapter 4: Exploring Group Decision-Making with q-rung Picture Fuzzy Frank Bonferroni Operators
- Introduction
- Key Concepts
- Results and Discussion
  - Framework for Group Decision-Making using Proposed Operator
  - Practical Instance
  - Parameters impact on the Decision-Making Outcomes
  - Comparison of Proposed and Current Operators
- Conclusion
Chapter 5: Incorporating q-rung Picture Fuzzy Frank Prioritized Weighted Aggregators with Multimoora Strategy for Decision Making
- Introduction
- Key Concepts
- Results and Discussions
  - Mathematical Formulation of Integrated MULTIMOORA approach based on Proposed Aggregators
  - Practical Instance
  - Impact of the Parameters m and ğ on MULTIMOORA q-RPFS
  - Comparative examination
- Conclusion
Chapter 6: Handling Decision-Making Issue Based on Hesitant Frank Aggregators in the Linguistic q-rung Picture Fuzzy Context
- Introduction
- Key Concepts
- Set Operations of Hğ-RPFS
- Frank Operations of hesitant q-rung Picture Fuzzy Numbers
- Results and Discussion
  - MCGDM approach with Hesitant q-rung picture fuzzy data
  - Practical Instance
- Conclusion
Chapter 7: Summary and Future Work
- Summary of the Thesis
- Future Work

List of Tables and Figures

Includes tables and figures related to the different chapters

List of Symbols

Contains mathematical symbols and their definitions

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Description

Explore the significance of Frank aggregation operators for multi-attribute decision-making in the context of q-rung picture fuzzy sets. This quiz covers the foundations of fuzzy sets, decision-making methods, and the key concepts discussed in the thesis. Test your understanding of these advanced topics and their practical applications.