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How can group theory be applied to planning financial portfolio? 


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Group theory can be effectively applied in planning financial portfolios by utilizing group decision-making approaches, such as considering group intelligence and consensus processes . Additionally, algorithms based on group trading strategies can optimize portfolio decisions by considering multiobjective goals, return and risk factors, grouping, and weight balances . Furthermore, the concept of grouping can be utilized in uncertain portfolio management situations, where topological axioms can help reduce the number of elements in related sets, aiding in the grouping of financial titles listed in the Stock Exchange or its dual perspective . Moreover, diverse group stock portfolio optimization algorithms can enhance portfolio diversity by considering factors like industry diversity and cash dividends, leading to the creation of more effective diverse group stock portfolios .

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Group theory can be applied in financial portfolio planning by utilizing diverse group stock portfolio optimization algorithms to create varied and exchangeable stock groups for investors' selection based on industry diversity.
Group decision-making with hesitant fuzzy information and prospect theory can aid in selecting optimal portfolios by considering group intelligence, consensus, return, and risk evaluation based on experts' intuitive judgments.
Group theory can be applied in financial portfolio planning by utilizing algorithms to create homogeneous groupings, reducing complexity and aiding decision-making in uncertain situations.
Open accessDissertation
Doria Arrieta, Omar Alonso 
17 Jun 2011
Group theory can be applied in financial portfolio planning by analyzing emergent group properties in markets using Random Matrix Theory, Inverse Participation Ratio, and complex network perspectives for risk assessment.
A Multiobjective-Based Group Trading Strategy Portfolio Optimization Technique applies group trading strategies to optimize financial portfolios based on return, risk, grouping, and weight balance objectives.

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