Human attitude analysis based on fuzzy soft differential equations with Bonferroni mean
- 1. Lahore School of Economics, Centre for Mathematics and Statistical Sciences (Pakistan)
- 2. University of Management and Technology, Department of Mathematics (Pakistan)
Description
In this paper, we model a system of fuzzy soft differential equations to analyze the behavior over the time of an individual depending on their companion's actions under any particular situation against some decision. The Bonferroni mean (BM) is a very useful tool for group decision-making problems when arguments are interrelated to each other as Bonferroni mean can capture the interrelationship of the individual arguments. Using this ability of BM, we define Bonferroni fuzzy soft matrix (BFSM) and weighted Bonferroni fuzzy soft matrix (WBFSM) for data representation. WBFSM is a decision matrix and provide the optimum fuzzy soft constant (OFSC) which is the key element of fuzzy soft differential equation. By utilizing the OFSC, we develop a system of fuzzy soft differential equations to study a dynamical process with nonlinear uncertain and vague data. Second, we present a novel efficient technique for analyzing the future attitude of people due to their present decisions. To illustrate the practicality and feasibility of proposed technique an illustrative example is also discussed with the help of phase portrait and line graphs.
Additional details
Identifiers
Publishing Information
- Journal Title
- Computational and Applied Mathematics
- Journal Volume
- 37
- Journal Issue
- 3
- Journal Page Range
- p. 2632-2647
- ISSN
- 0101-8205
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 50012512
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- DECISION MAKING; DIFFERENTIAL EQUATIONS; FUZZY LOGIC; MATRICES; NONLINEAR PROBLEMS
- Descriptors DEC
- EQUATIONS; MATHEMATICAL LOGIC
Optional Information
- Copyright
- Copyright (c) 2018 SBMAC - Sociedade Brasileira de Matem#Latin Small Letter A With Acute#tica Aplicada e Computacional