Affine and convex fuzzy subsets of hypervector spaces

Ameri R (2005) Fuzzy hypervector spaces over valued fields. Iran J Fuzzy Syst 2:37–47

Ameri R, Dehghan OR (2010) Fuzzy basis of fuzzy hypervector spaces. Iran J Fuzzy Syst 7(3):97–113

Ameri R, Dehghan OR (2008a) On dimension of hypervector spaces. Eur J Pure Appl Math 1(2):32–50

Ameri R, Dehghan OR (2008b) Fuzzy hypervector spaces. Adv Fuzzy Syst (Article ID 295649)

Ameri R, Dehghan OR (2011a) Fuzzy hypervector spaces based on fuzzy singletons. Comput Math Appl 61:2933–2943

Ameri R, Dehghan OR (2011b) Dimension of fuzzy hypervector spaces. Iran J Fuzzy Syst 8(5):149–166

Corsini P (1993) Prolegomena of hypergroup theory, 2nd edn. Aviani editor

Corsini P, Leoreanu V (2003) Applications of hyperstructure theory. Kluwer Academic Publications, New York

Davvaz B (2020) A brief survey on algebraic hyperstructures: theory and applications. J Algebraic Hyperstructures Log Algebras 1(3):15–29

Davvaz B, Cristea I (2015) Fuzzy algebraic hyperstructures. Springer, New York

Davvaz B, Leareanu-Fotea V (2007) Hyperring theory and applications. International Academic Press, New York

Dehghan OR (2020a) Sum and scalar product of fuzzy subhyperspaces. J Discrete Math Sci Cryptogr 23(4):841–860

Dehghan OR (2020b) Balanced and absorbing fuzzy subsets of hypervector spaces. Comput Appl Math 39(2):1–12 (Article 53)

Dehghan OR, Ameri R, Ebrahimi Aliabadi HA (2019) Some results on hypervector spaces. Ital J Pure Appl Math 41:23–41

Katsaras AK, Liu DB (1977) Fuzzy vector spaces and fuzzy topological vector spaces. J Math Anal Appl 58:135–146

Kumar R (1992) Fuzzy vector space and fuzzy cosets. Fuzzy Sets Syst 45:109–116

Lowen R (1980) Convex fuzzy sets. Fuzzy Sets Syst 3:291–310

Malik DS, Mordeson JN (1991) Fuzzy vector space. Inf Sci 55:271–281

Marty F (1934) Sur une generalization de la notion de groupe. In: 8th congress des Mathematiciens Scandinaves, Stockholm, pp 45–49

Mordeson JN, MAlik DS (1998) Fuzzy commutative algebra. World Scientific, Singapore

Mordeson JN, MAlik DS, Kuroki N (2003) Fuzzy semigroups. Springer, New York

Nanda S (1991) Fuzzy linear spaces over valued fields. Fuzzy Sets Syst 42:351–354

Raja P, Vaezpour SM (2011) Convexity in normed hypervector spaces. Ital J Pure Appl Math 28:7–16

Rosenfeld A (1971) Fuzzy groups. J Math Anal Appl 35:512–517

Rosenfeld A, Mordeson JN, Bhutani KR (2005) Fuzzy group theory. Springer, New York

Scafati-Tallini M (1990) Hypervector spaces, Fourth International congress on algebraic hyperstructures and applications. Xanthi, Greece, pp 167–174

Vougiuklis T (1994) Hyperstructures and their representations. Hardonic Press Inc., Palm Harbor

Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353