Abstract
Ranking of Generalized intuitionistic fuzzy sets (GIFSs) assume an unmistakable part, considering the fact that its applicability and appeal to mannequin with uncertainty in “Multi-criteria Decision Making” (MCDM) problems. Intention of this discussion is to inspect the more than one attribute selection issues with GIF data in which priority vectors are absolutely known. Here we lengthen “technique for order preference similarity to ideal solution (TOPSIS) method” for the generalized intuitionistic fuzzy information. Possibility degree approach are used to positioned the alternatives.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)
Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 87–96 (1986)
Atanassov, K.: New operations defined over the intuitionistic fuzzy sets. Fuzzy Sets Syst. 61, 137–142 (1994)
Adak, A.K., Bhowmik, M.: Interval cut-set of interval-valued intuitionistic fuzzy sets. Afr. J. Math. Comput. Sci. 4(4), 192–200 (2011)
Adak, A.K., Bhowmik, M., Pal, M.: Semiring of interval-valued intuitionistic fuzzy matrices. Glob. J. Comput. Appl. Technol. 1(3), 340–347 (2011)
Adak, A.K., Bhowmik, M., Pal, M.: Intuitionistic fuzzy block matrix and its some properties. Ann. Pure Appl. Math. 1(1), 13–31 (2012)
Manna, D., Adak, A.K.: Interval-valued intuitionistic fuzzy R-subgroup of near-rings. J. Fuzzy Math. 24(4), 985–994 (2016)
Adak, A.K.: Interval-valued intuitionistic fuzzy partition matrices. In: Emerging Research on Applied Fuzzy Sets and Intuitionistic Fuzzy Matrices, pp. 64–81. IGI-Global, USA (2017)
Ebrahimnejad, A., Adak, A.K., Jamkhaneh, E.B.: Eigenvalue of intuitionistic fuzzy matrices over distributive lattice. Int. J. Fuzzy Syst. Appl. (IJFSA) 8(1), 1–18 (2019)
Mondal, T.K., Samanta, S.K.: Generalized intuitionistic fuzzy sets. J. Fuzzy Math. 10(4), 839–862 (2002)
Adak, A.K., Bhowmik, M., Pal, M.: Interval cut-set of generalized interval-valued intuitionistic fuzzy sets. Int. J. Fuzzy Syst. Appl. 2(3), 35–50 (2012)
Adak, A.K., Bhowmik, M., Pal, M.: Some properties of generalized intuitionistic fuzzy nilpotent matrices over distributive lattice. Int. J. Fuzzy Inf. Eng. 4(4), 371–387 (2012)
Adak, A.K., Bhowmik, M., Pal, M.: Semiring of generalized interval-valued intuitionistic fuzzy matrices. World Appl. Sci. J. 16(special issue of Applied Math), 07–16 (2012)
Adak, A.K., Salookolaei, D.D.: Some properties of rough pythagorean fuzzy sets. Fuzzy Inf. Eng. 13(4), 420–435 (2021)
Bhowmik, M., Pal, M.: Generalized intuitionistic fuzzy matrices. Far-East J. Math. Sci. 29(3), 533–554 (2008)
Boran, F.E.: An integrated intuitionistic fuzzy multi criteria decision making method for facility location selection. Math. Comput. Appl. 16(2), 487–496 (2011)
Xu, Z.S.: Some similarity measure of intuitionistic fuzzy sets and their appliations to multi attribute decision making. Fuzzy Optim. Decis. Making 6, 109–121 (2007)
Yeh, C.H.: A problem based selection of multi attribute decision making methods. Int. Trans. Oper. Res. 9, 169–181 (2002)
Zhang, X., Yue, G., Teng, Z.: Possilbility degree of interval-valued fuzzy numbers and its application. In: International Symposium on Information Processing, pp. 033–036, 21–23 Aug 2009
Hwang, C.L., Yoon, K.: Multiple attribute decision methods and applications: a state of the art survey. Springer Verlag, New York (1981)
Shyamal, A.K., Pal, M.: Distances between intuitionistics fuzzy matrices. V.U.J. Phys. Sci. 8, 81–91 (2002)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Adak, A.K., Nilkamal, Srivastava, K.N. (2023). New Ranking Approach to Solve MCDM Problems with Generalized Intuitionistic Fuzzy Information. In: Sahoo, L., Senapati, T., Yager, R.R. (eds) Real Life Applications of Multiple Criteria Decision Making Techniques in Fuzzy Domain. Studies in Fuzziness and Soft Computing, vol 420. Springer, Singapore. https://doi.org/10.1007/978-981-19-4929-6_26
Download citation
DOI: https://doi.org/10.1007/978-981-19-4929-6_26
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-19-4928-9
Online ISBN: 978-981-19-4929-6
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)