Evaluation of agreement in a group of experts via distances between intuitionistic fuzzy preferences

2003 ◽  
Author(s):  
E. Szmidt ◽  
J. Kacprzyk
Keyword(s):  
Intuitionistic Fuzzy ◽  
Fuzzy Preferences

ARROW-TYPE RESULTS UNDER INTUITIONISTIC FUZZY PREFERENCES

2013 ◽  
Vol 09 (01) ◽  
pp. 97-123 ◽  
Author(s):  
GILBERT NJANPONG NANA ◽  
LOUIS AIME FONO
Keyword(s):  
Positive Result ◽  
Social Preferences ◽  
Impossibility Theorem ◽  
Arrow’S Impossibility Theorem ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Preferences ◽  
Arrow's Impossibility Theorem ◽  
Fuzzy Preference

Fono et al.11 characterized, for an intuitionistic fuzzy t-norm [Formula: see text], two properties of a given regular intuitionistic fuzzy strict component of a (T,S)-transitive intuitionistic fuzzy preference. In this paper, we examine these characterizations in the particular case where [Formula: see text]. We then use these (general and particular) results to obtain some intuitionistic fuzzy versions of Arrow's impossibility theorem. Therefore, by weakening a requirement to social preferences, we deduce a positive result, that is, we display an example of a non-dictatorial Intuitionistic Fuzzy Agregation Rule (IFAR) and, we establish an intuitionistic fuzzy version of Gibbard's oligarchy theorem.

A novel intuitionistic fuzzy preference relations for multiobjective goal programming problems

2021 ◽  
pp. 1-17
Author(s):  
Abdullah Ali H. Ahmadini ◽  
Firoz Ahmad
Keyword(s):  
Goal Programming ◽  
Convex Combination ◽  
Research Direction ◽  
Future Research ◽  
Preference Relations ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Preferences ◽  
Fuzzy Preference Relations ◽  
Fuzzy Goals ◽  
The Comparative Study

This paper investigates novel intuitionistic fuzzy preferences relations to determine the imprecise linguistic terms with fuzzy goals. The proposed intuitionistic fuzzy goal programming (IFGP) considers the degree of vagueness and hesitations simultaneously. Different sorts of membership functions such as linear, exponential, parabolic, and hyperbolic have been introduced to depict the linguistic importance term. The overall satisfaction level is achieved by maximizing the convex combination of each fuzzy goals and the preference relations simultaneously. To verify and validate the proposed IFGP model, a numerical example is presented with the comparative study. Further, it is also applied to a banking financial statement management system problem. The proposed IFGP approach outperforms over others. At last, the conclusion and future research direction are suggested based on the performed study.

Decision making based on intuitionistic fuzzy preference relations with additive approximate consistency

2020 ◽  
Vol 39 (3) ◽  
pp. 4041-4058
Author(s):  
Fang Liu ◽  
Xu Tan ◽  
Hui Yang ◽  
Hui Zhao
Keyword(s):  
Decision Making ◽  
Decision Makers ◽  
Real Interval ◽  
Preference Relations ◽  
Intuitionistic Fuzzy ◽  
Proposed Model ◽  
Fuzzy Preference Relations ◽  
Novel Concept ◽  
Fuzzy Weights ◽  
Fuzzy Preference

Intuitionistic fuzzy preference relations (IFPRs) have the natural ability to reflect the positive, the negative and the non-determinative judgements of decision makers. A decision making model is proposed by considering the inherent property of IFPRs in this study, where the main novelty comes with the introduction of the concept of additive approximate consistency. First, the consistency definitions of IFPRs are reviewed and the underlying ideas are analyzed. Second, by considering the allocation of the non-determinacy degree of decision makers’ opinions, the novel concept of approximate consistency for IFPRs is proposed. Then the additive approximate consistency of IFPRs is defined and the properties are studied. Third, the priorities of alternatives are derived from IFPRs with additive approximate consistency by considering the effects of the permutations of alternatives and the allocation of the non-determinacy degree. The rankings of alternatives based on real, interval and intuitionistic fuzzy weights are investigated, respectively. Finally, some comparisons are reported by carrying out numerical examples to show the novelty and advantage of the proposed model. It is found that the proposed model can offer various decision schemes due to the allocation of the non-determinacy degree of IFPRs.

INTUITIONISTIC FUZZY INTERPRETATION OF INFORMATION MESSAGES

1999 ◽  
Vol 04 (01) ◽  
Author(s):  
K. Atanassov ◽  
D. Dimitrov
Keyword(s):  
Intuitionistic Fuzzy
Sign in / Sign up

Export Citation Format

Share Document