Fuzzy matrices with fuzzy rows and columns

Abstract

Fuzzy matrices (FMs) play important role to model several uncertain systems. In FMs, it is assumed that the rows and columns are certain. But, in many real life situations it is seen that they are also uncertain. So to model these types of uncertain problems, new type of FMs are introduced called fuzzy matrices with fuzzy rows and columns (FMFRCs). For these matrices, null, identity, equality, etc. are defined along with four binary operators ∨, ∧, ⊖ and ⊕. Two types of complements and density of FMFRC are defined and investigated several important properties. An application of FMFRC in image representation is also given.

Cite this work

No public copy is stored for this record, so only the metadata is cited.

Stored only when both papers are in the corpus — 29 citations exist upstream.

Papers that cite the same references — the relational fallback while embeddings are still backfilling.