m-Polar Fuzzy Linguistic TOPSIS for MCGDM (Adeel, Akram & Koam 2019, Symmetry 11(6):735) — multi-criteria group decision-making via m-polar fuzzy linguistic variables (mFLV), expert-aggregated m-PF linguistic decision matrix, aggregated linguistic-term-set weights, m-PF linguistic positive/negative ideal solutions (mPIS / mNIS), m-PF linguistic Euclidean distances, relative closeness coefficient E'_j descending ranking
MPF-TOPSIS-LING (m-Polar Fuzzy Linguistic TOPSIS for MCGDM (Adeel, Akram & Koam 2019, Symmetry 11(6):735) — multi-criteria group decision-making via m-polar fuzzy linguistic variables (mFLV), expert-aggregated m-PF linguistic decision matrix, aggregated linguistic-term-set weights, m-PF linguistic positive/negative ideal solutions (mPIS / mNIS), m-PF linguistic Euclidean distances, relative closeness coefficient E'_j descending ranking) is a ranking multi-criteria decision-making (MCDM) method introduced by Adeel, A., Akram, M., Koam, A. N. A. in 2019. It turns a decision matrix of alternative
Key highlights
- Follows a transparent, reproducible computational procedure that can be audited step by step.
- Handles multiple criteria of differing scales and units within a single decision matrix.
Intuition
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How it works
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When to use it
Read the result as a complete descending ranking of alternatives a_j by the relative m-PF linguistic closeness coefficient E'_j = D_e(a_j, mNIS) / (D_e(a_j, mPIS) + D_e(a_j, mNIS)) ∈ [0,1]. A value close to 1 means the alternative is simultaneously close to the m-PF linguistic positive ideal solution mPIS and far from the m-PF linguistic negative ideal solution mNIS, so higher E'_j is strictly better. The mPIS / mNIS are computed per-column per-pole over the weighted aggregated matrix E, so they always sit on the boundary of the alternative set and depend on which alternatives are present — re
Strengths & limitations
- Follows a transparent, reproducible computational procedure that can be audited step by step.
- Handles multiple criteria of differing scales and units within a single decision matrix.
- May exhibit rank reversal when alternatives are added to or removed from the set.
- Assumes full compensation — a strong score on one criterion can offset a weak score on another.
Common pitfalls
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Sources
- 1.Adeel, A., Akram, M., Koam, A. N. A. (2019). Group Decision-Making Based on m-Polar Fuzzy Linguistic TOPSIS Method. Symmetry (MDPI)
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ScholarGate. (2026, June 2). MPF-TOPSIS-LING. ScholarGate. https://scholargate.app/decision-making/mpf-topsis-ling