Published July 2018 | Version v1
Journal article

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

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Copyright
Copyright (c) 2018 SBMAC - Sociedade Brasileira de Matem#Latin Small Letter A With Acute#tica Aplicada e Computacional