Journal of Intelligent & Fuzzy Systems - Volume 35, issue 4

Authors: Yousafzai, Faisal | Ali, Arshad | Haq, Shamsul | Hila, Kostaq

Article Type: Research Article

Abstract: An AG -groupoid can be referred to as a non-associative semigroup, as the main difference between a semigroup and an AG -groupoid is the switching of an associative law. In this paper, we define the smallest one-sided ideals in an AG -groupoid and use them to characterize a strongly regular class of a unitary AG -groupoid along with its semilattices and SI -l -ideals (SI -r -ideals) and SI -bi-ideals. As an application, we get some interesting and new characterizations which we usually …do not find in semigroups. Finally we give the concept of an AG * * * -groupoid and give an example to show that this class is the generalization of a unitary AG -groupoid. Show more

Keywords: S-sets, pseudo-inverses, AG***-groupoid, left invertive law, smallest one-side (soft) ideals

DOI: 10.3233/JIFS-18873

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 4, pp. 4837-4847, 2018

Authors: Khan, Vakeel A. | Makharesh, Abdullah A.H. | Alshlool, Kamal M.A.S | Abdullah, Sameera A.A. | Fatima, Hira

Article Type: Research Article

Abstract: In this paper, our aim is to introduce and study some new spaces of lacunary I - convergence for sequence of fuzzy real number which are defined by compact operator (T ) on the real space ℝ . i.e., c F I θ ( T ) ,   c F 0 I θ ( T ) ,   ℓ F ∞ I θ ( T ) ,   ℓ …F ∞ θ ( T ) and examine some basic properties and prove some inclusions relation on these spaces. Show more

Keywords: Ideal, Iθ—convergence, Iθ—Cauchy, fuzzy number, lacunary sequence, compact operator

DOI: 10.3233/JIFS-18906

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 4, pp. 4849-4855, 2018

Authors: Arockia Reeta, J. | Vimala, J.

Article Type: Research Article

Abstract: The concept of lattice ordered fuzzy soft groups(l - FSGs) was instigated by J. Vimala and J. Arockia Reeta. In this present work, we define anti- lattice ordered fuzzy soft groups (anti- l -FSGs) and extend anti- l -FSGs matrix with appropriate examples. Also we derive the properties relevant to anti- l -FSGs matrices with its distinctive operations. Furthermore, we have applied the bounded sum and bounded difference operations in real life deciding process to find the best solution.

Keywords: Anti- l-FSG, Anti- l-FSG matrix, De Morgan’s law

DOI: 10.3233/JIFS-18914

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 4, pp. 4857-4864, 2018

Authors: Bolturk, Eda | Kahraman, Cengiz

Article Type: Research Article

Abstract: Intuitionistic Fuzzy Sets (IFSs) have extensively been employed in multi-criteria decision making (MCDM). COmbinative Distance-based Assessment (CODAS) method, which is relatively a new MCDM technique, aims to select the alternative having the largest Euclidean and Taxicab (Hamming) distances to the negative- ideal point. This paper develops an intuitionistic fuzzy CODAS method, namely Interval-Valued Intuitionistic Fuzzy CODAS (IVIF-CODAS), and introduces it to the literature first time. The objective of our paper is to make a multi-criteria decision under intuitionistic fuzzy uncertainty by taking the hesitancy of decision makers into consideration based on both Euclidean and Taxicab distances according to the negative-ideal …point. To show the effectiveness of the developed method, an application is given for wave energy facility location selection in Turkey and the obtained results are compared with crisp CODAS method’s. Show more

Keywords: CODAS, intuitionistic fuzzy sets, renewable energy, multi-criteria decision making, Euclidean distance, taxicab distance, hamming distance

DOI: 10.3233/JIFS-18979

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 4, pp. 4865-4877, 2018

Authors: Shah, Nasir | Mehmood, Nayyar | Rehman, Noor | Shabir, Muhammad | Ali, Muhammad Irfan

Article Type: Research Article

Abstract: The aim of this paper is to discuss the uncertainty in soft graphs and a new type of graphs, called Z -soft rough fuzzy graphs is introduced. The notions of Z -soft rough vertex graphs, Z -soft rough edge graphs and Z -soft rough fuzzy graphs are given, and their related properties are explored. The theory of graph approximation space is developed. To validate the applicability of Z -soft rough fuzzy graphs, we put forward an innovative approach to multicriteria group decision making problems.

Keywords: rough sets, soft graphs, Z-soft rough fuzzy graphs, decision making

DOI: 10.3233/JIFS-18993

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 4, pp. 4879-4891, 2018