Multi-Criteria Decision Making (MCDM), Fuzzy Logic & ISM/TISM
Indicator screening, criteria weighting, causal network mapping, and alternative ranking under crisp, fuzzy, grey, and Z-number environments.
MCDM and fuzzy set methods are central to Industrial Engineering, Supply Chain, Operations, and Policy studies. We provide transparent matrix calculations, sensitivity analyses, and publication-grade causal digraphs.
Fuzzy DEMATEL · Fuzzy ISM · Dynamic FCMMCDM Studio
Expert Consensus
Fuzzy Delphi Method (FDM) for Indicator Screening
Aggregating expert judgments using triangular/trapezoidal/spherical fuzzy numbers, center-of-gravity defuzzification, threshold screening (≥ 0.7), and multi-round convergence testing.
Required Data & Inputs
Completed expert questionnaires (5- or 7-point Likert scale) and initial indicator list.
Dedicated Software
Excel (Automated)PythonMATLAB
What You Receive (Deliverables)
Fuzzy and crisp average tables per round, accept/reject status, inter-round difference table, and convergence chart.
Causal Digraph
DEMATEL & Fuzzy DEMATEL Causal Analysis
Direct-relation matrix aggregation, normalization, total-relation matrix (T) inversion, prominence (D+R) and net cause/effect (D-R) calculation, and causal digraph plotting.
Required Data & Inputs
Experts’ pairwise influence matrices (0–4 scale) and criteria names.
Interpretive Structural Modeling (ISM / TISM), Fuzzy ISM & MICMAC
SSIM construction, initial/final reachability matrices (with transitivity check), and hierarchical level partitioning in both crisp and fuzzy modes (Fuzzy ISM / Fuzzy TISM) to capture expert uncertainty; presenting the final structural model (crisp or fuzzy), classifying driving, linkage, dependent, and autonomous variables, plus 4-quadrant MICMAC analysis.
Required Data & Inputs
Structural Self-Interaction Matrix (SSIM with V, A, X, O symbols or a fuzzy spectrum) completed by experts, plus the factor list.
Dedicated Software
PythonExcelMATLAB
What You Receive (Deliverables)
SSIM, initial and final reachability matrices with transitive links (1*) and the fuzzy alpha-cut, level partition tables, the final ISM / TISM / Fuzzy ISM digraph, and the 4-quadrant MICMAC plot.
Modeling complex feedback systems with weighted causal links in [-1, +1], running What-If policy scenarios, and simulating dynamic concept convergence over time; suited to foresight studies, policy evaluation, managerial/economic scenario analysis, and systems with mutual feedback loops.
Required Data & Inputs
Concept interrelation matrix from experts (fuzzy/linguistic scale) or time-series data for weight learning (Hebbian / Genetic Learning).
Dedicated Software
PythonMATLABMental ModelerR
What You Receive (Deliverables)
Aggregated fuzzy adjacency matrix, network centrality indices (Indegree, Outdegree, Centrality), the cognitive network graph, and dynamic scenario simulation plots (DFCM).
Subjective/objective criteria weighting (AHP, ANP, BWM, OPA, Entropy, CRITIC, SWARA) and alternative ranking (TOPSIS, VIKOR, MARCOS, WASPAS, COPRAS) in crisp and fuzzy forms with sensitivity analysis.
Required Data & Inputs
Pairwise comparison forms or decision matrix (alternative scores across criteria).
Dedicated Software
Super DecisionsLingo / GAMSPythonExcel
What You Receive (Deliverables)
Final criteria weights, consistency ratios (CR), normalized/weighted matrices, final ranking table, and weight-perturbation sensitivity plots.