The role of fuzzy sets in decision sciences: old techniques and new directions

DOI10.1016/j.fss.2011.06.003zbMath1242.91043OpenAlexW2024919729MaRDI QIDQ429410

Dubois, Didier

Publication date: 19 June 2012

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2011.06.003

zbMATH Keywords

aggregationdecisionpreference relationslinguistic variablesranking methodsfuzzy intervalsqualitative value scales

Mathematics Subject Classification ID

Decision theory (91B06) Theory of fuzzy sets, etc. (03E72) Reasoning under uncertainty in the context of artificial intelligence (68T37)

Related Items

Fuzzy logic modifications of the analytic hierarchy process ⋮ Fuzzy information systems and their homomorphisms ⋮ Flipping of multivariate aggregation functions ⋮ Fuzzy analytic hierarchy process: fallacy of the popular methods ⋮ Acceptability analysis and priority weight elicitation for interval multiplicative comparison matrices ⋮ Characterizations and uncertainty measurement of a fuzzy information system and related results ⋮ Consistency-index-driven group decision making under the environment of triangular fuzzy numbers ⋮ An axiomatic approach to approximation-consistency of triangular fuzzy reciprocal preference relations ⋮ Qualitative capacities: basic notions and potential applications ⋮ A hybrid technique for order preference in decision-making ⋮ And-like-uninorm based consistency analysis and optimized fuzzy weight closed-form solution of triangular fuzzy additive preference relations ⋮ Interval multiplicative pairwise comparison matrix: consistency, indeterminacy and normality ⋮ And-like-uninorm-based transitivity and analytic hierarchy process with interval-valued fuzzy preference relations ⋮ Ranking of fuzzy intervals seen through the imprecise probabilistic lens ⋮ Coevolutionary makespan optimisation through different ranking methods for the fuzzy flexible job shop ⋮ Methodology for integrated multicriteria decision-making with uncertainty: extending the compromise ranking method for uncertain evaluation of alternatives ⋮ Type-reduction of interval type-2 fuzzy numbers via the Chebyshev inequality ⋮ Preferences in discrete multi-adjoint formal concept analysis ⋮ A framework for group decision making with multiplicative trapezoidal fuzzy preference relations ⋮ A type-1 OWA operator for extended comparative linguistic expressions with symbolic translation ⋮ Fuzzy clustering based on linguistic information: a case study on clustering destinations with tourists’ perceptions ⋮ Development of prospect theory in decision making with different types of fuzzy sets: a state-of-the-art literature review ⋮ A goal programming approach to deriving interval weights in analytic form from interval fuzzy preference relations based on multiplicative consistency ⋮ Formalization of implication based fuzzy reasoning method ⋮ Linguistic multi-criteria decision-making with representing semantics by programming ⋮ The dual triple I methods of FMT and IFMT ⋮ Novel weighted averages versus normalized sums in computing with words ⋮ Optimal inconsistency repairing of pairwise comparison matrices using integrated linear programming and eigenvector methods ⋮ Fuzzy dynamic timetable scheduling for public transit ⋮ Intuitionistic fuzzy similarity measure: Theory and applications ⋮ Triple I method of approximate reasoning on Atanassov's intuitionistic fuzzy sets ⋮ Multicriteria decision making inspired by human cognitive processes ⋮ An inquiry into approximate operations on fuzzy numbers ⋮ On the properties of the fuzzy weighted average of fuzzy numbers with normalized fuzzy weights ⋮ An outranking approach for multi-criteria decision-making with hesitant fuzzy linguistic term sets ⋮ Logarithmic least squares prioritization and completion methods for interval fuzzy preference relations based on geometric transitivity ⋮ Consistency analysis and priority derivation of triangular fuzzy preference relations based on modal value and geometric mean ⋮ A consensus-based probabilistic linguistic gained and lost dominance score method ⋮ An outranking method for multi-criteria decision making with duplex linguistic information ⋮ A new approach to normalization of interval and fuzzy weights ⋮ Consistency analysis of triangular fuzzy reciprocal preference relations ⋮ Semantic dominance analysis for multicriteria decision‐making problems with unbalanced linguistic scale ⋮ Checking and adjusting order-consistency of linguistic pairwise comparison matrices for getting transitive preference relations ⋮ Unnamed Item ⋮ The legacy of 50 years of fuzzy sets: a discussion ⋮ Consistency analysis and group decision making based on triangular fuzzy additive reciprocal preference relations ⋮ Harnessing the information contained in low-quality data sources ⋮ Statistical reasoning with set-valued information: ontic vs. epistemic views ⋮ Rejoinder on ``Statistical reasoning with set-valued information: ontic vs. epistemic views ⋮ L-R geometric consistency definition of triangular multiplicative preference relation in group decision making ⋮ Extended TOPSIS method for supplier selection under picture hesitant fuzzy environment using linguistic variables ⋮ Intuitionistic fuzzy linear programming and duality: a level sets approach ⋮ A fuzzy extension of analytic hierarchy process based on the constrained fuzzy arithmetic ⋮ Handling imprecise evaluations in multiple criteria decision aiding and robust ordinal regression by \(n\)-point intervals ⋮ Acceptability measurement and priority weight elicitation of triangular fuzzy multiplicative preference relations based on geometric consistency and uncertainty indices ⋮ INTUITIONISTIC FUZZY DIMENSIONAL ANALYSIS FOR MULTI-CRITERIA DECISION MAKING ⋮ Statistical Reasoning with Set-Valued Information: Ontic vs. Epistemic Views ⋮ Invariant characterizations of fuzzy relation information systems under homomorphisms ⋮ Comparing the magnitude of fuzzy intervals and fuzzy random variables from the standpoint of gradual numbers ⋮ Set-theoretic methodology using fuzzy sets in rule extraction and validation -- consistency and coverage revisited ⋮ A decision-making model based on interval additive reciprocal matrices with additive approximation-consistency ⋮ Aggregation of diverse types of fuzzy orders for decision making problems ⋮ Invariant characterizations of fuzzy information systems under some homomorphisms based on data compression and related results ⋮ Possibility and Gradual Number Approaches to Ranking Methods for Random Fuzzy Intervals ⋮ A group decision making model based on a generalized ordered weighted geometric average operator with interval preference matrices ⋮ How different are ranking methods for fuzzy numbers? A numerical study ⋮ Multi-criteria semantic dominance: a linguistic decision aiding technique based on incomplete preference information

Uses Software

• CP-nets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Conjoint axiomatization of Min, DiscriMin and LexiMin
• A fuzzy extension of Saaty's priority theory
• On the compositional characterization of complete fuzzy pre-orders
• On the normalization of interval and fuzzy weights
• Evaluation and decision models. A critical perspective
• A compendium of fuzzy weak orders: representations and constructions
• Additive decomposition of fuzzy pre-orders
• Fuzzy choice functions. A revealed preference approach
• Qualitative heuristics for balancing the pros and cons
• Making discrete sugeno integrals more discriminant
• Inconsistency of pair-wise comparison matrix with fuzzy elements based on geometric mean
• General results on the decomposition of transitive fuzzy relations
• Extending stochastic ordering to belief functions on the real line
• Possibility theory and statistical reasoning
• A review of some methods for ranking fuzzy subsets
• Ranking fuzzy numbers in the setting of possibility theory
• Ranking fuzzy numbers with maximizing set and minimizing set
• Intuitionistic fuzzy sets
• Single value simulation of fuzzy variable
• The mean value of a fuzzy number
• A subjective approach for ranking fuzzy numbers
• A procedure for ordering fuzzy subsets of the unit interval
• Advances in prospect theory: cumulative representation of uncertainty
• When upper probabilities are possibility measures
• Rating and ranking of multiple-aspect alternative using fuzzy sets
• Fuzzy programming and linear programming with several objective functions
• Fuzzy sets as a basis for a theory of possibility
• Decision-making with a fuzzy preference relation
• The concept of a linguistic variable and its application to approximate reasoning. I
• Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic
• The three semantics of fuzzy sets
• Computing improved optimal solutions to max-min flexible constraint satisfaction problems
• Ranking and defuzzification methods based on area compensation
• Fuzzy logic for planning and decision making
• Characterizable fuzzy preference structures
• Representations and constructions of similarity-based fuzzy orderings.
• On the use of aggregation operations in information fusion processes.
• A fusion approach for managing multi-granularity linguistic term sets in decision making
• Preference modeling on totally ordered sets by the Sugeno integral
• Ranking fuzzy interval numbers in the setting of random sets
• On the relationship between some extensions of fuzzy set theory
• Multiple criteria decision analysis. State of the art surveys
• The Möbius transform on symmetric ordered structures and its application to capacities on finite sets
• Ranking fuzzy interval numbers in the setting of random sets -- further results
• Supremum preserving upper probabilities
• On the semantics of fuzzy logic
• Absorbent tuples of aggregation operators
• Cyclic evaluation of transitivity of reciprocal relations
• Qualitative decision under uncertainty: back to expected utility
• Transitivity frameworks for reciprocal relations: cycle-transitivity versus \(FG\)-transitivity
• On the use of the Choquet integral with fuzzy numbers in multiple criteria decision support
• Similarity relations and fuzzy orderings
• Belief functions on real numbers
• PROBABILITY INTERVALS: A TOOL FOR UNCERTAIN REASONING
• SET DEFUZZIFICATION AND CHOQUET INTEGRAL
• An introduction to bipolar representations of information and preference
• Bipolar and bivariate models in multicriteria decision analysis: Descriptive and constructive approaches
• Generalised fuzzy weighted mean and its applications
• Capacity Refinements and Their Application to Qualitative Decision Evaluation
• Decision-Making in a Fuzzy Environment
• Additions of interactive fuzzy numbers
• Decision-theoretic foundations of qualitative possibility theory
• Reasonable properties for the ordering of fuzzy quantities. I
• Fuzzy hierarchical analysis: The Lambda-Max method