As an extension of fuzzy sets and intuitionistic fuzzy sets, picture fuzzy sets have been introduced which is further extended to cubic picture fuzzy sets. Motivated by the notion of cubic linear spaces cubic picture fuzzy linear spaces are defined. Subsequent sections are devoted in examining P(resp. R)−union and P(resp. R)−intersection of cubic picture fuzzy linear spaces. Also, the concept of internal cubic picture fuzzy linear space and external cubic picture fuzzy linear spaces are discussed with few properties and examples.

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