Fuzzy Information and Engineering

Solovyov, Sergey A.

2014 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.01.001

AbstractThe manuscript continues our study on developing a categorically-algebraic (catalg) analogue of the theory of natural dualities of D. Clark and B. Davey, which provides a machinery for obtaining topological representations of algebraic structures. The new setting differs from its predecessor in relying on catalg topology, introduced lately by the author as a new approach to topological structures, which incorporates the majority of both crisp and many-valued developments, ultimately erasing the border between them. Motivated by the variable-basis lattice-valued extension of the Stone representation theorems done by S. E. Rodabaugh, we have recently presented a catalg version of the Priestley duality for distributive lattices, which gave rise (as in the classical case) to a fixed-basis variety-based approach to natural dualities. In this paper, we extend the theory to variable-basis, whose setting is completely different from the respective one of S. E. Rodabaugh, restricted to isomorphisms between the underlying lattices of the spaces.

Fariborzi Araghi, M.A.; Fallahzadeh, A.

2014 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.01.002

AbstractIn this paper, a new scheme is proposed to find the fuzzy interpolation polynomial. In this case, the nodes are crisp data and the values are fuzzy numbers. In order to obtain the interpolation polynomial, a linear system is solved with crisp coefficients matrix and fuzzy right hand side. Then, the inherited lower-upper (LU) triangular factorization and inherited interpolation are applied to solve this system. The examples illustrate the applicability, simplicity and efficiency of the proposed method.

Das, Sujoy; Samanta, S.K.

2014 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.01.003

AbstractIn the present paper, self-adjoint operator and completely continuous operator on soft inner product spaces have been introduced and some basic properties of such operators are studied.

Rao, Cong-Jun; Liu, Jun-E; Dong, Jin-Hui; Jentsch, Peter Carl

2014 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.01.004

AbstractElectric coal procurement is the basis of electric power production. In this paper, the problem of supplier selection is studied in multi-source procurement of electric coal. Concretely, the index system of supplier selection is presented, including the evaluation attributes of price, quantity, quality, delivery time and the reputation of supplier. Then, the problem of supplier selection is converted into a problem of hybrid multi-attribute decision making, and a projection method based on hybrid technique for order preference by similarity to ideal solution (TOPSIS) is presented to rank all suppliers and select winners. Its decision example is also given to implement the presented decision method and to demonstrate its effectiveness and practicality. This paper gives an effective way to the hybrid multi-attribute decision making for multi-source procurement of electric coal under fuzzy uncertain environment.

Chatterjee, Amitava; Mukherjee, Supratim; Kar, Samarjit

2014 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.01.005

AbstractIn recent years, extensive research jobs have been developed on the definition, measurement and analyzing of poverty. Poverty is a multidimensional phenomenon, thus a number of challenges appears measuring it. The fuzzy set theoretic approach has been used to measure the poverty and to classify the difference between poor and non-poor households. This paper aims at proposing a new methodology to measure the poverty index in fuzzy environment via a two-step membership function. The concept of one poverty line is chalked out first and then a general method is developed to split the poverty index. Linguistic variables are used for the attributes to find the membership values of the households against the attributes and to grade the attributes. The effectiveness and usefulness of the proposed method is numerically illustrated through a case study for rural household people living in remote rural areas of India.

Wang, Zhong-Xing; Niu, Li-Li; Wu, Ru-Xue; Lan, Ji-Bin

2014 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.01.006

AbstractBased on the feature of interval-valued intuitionistic fuzzy multi-attribute decision-making, in this thesis, a mentality parameter is used to reflect the decision makers’ risk attitude in determining of both a membership degree and a non-membership degree. Besides, with the mentality parameter, a new score function and accuracy function are proposed, which integrate the membership degree, the non-membership degree and the hesitancy degree into one index. Furthermore, to compare two interval-valued intuitionistic fuzzy numbers, a new ranking method is generated with the score function and accuracy function. Finally, a multi-attribute decision method under interval-valued intuitionistic fuzzy environment is developed in a linear weighted average operator. And promising numerical results show that this method is available.

Talebi, Ali Asghar; Rashmanlou, Hossein

2014 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2015.01.007

AbstractIn this paper, we discuss some properties of the self complement and self weak complement bipolar fuzzy graphs, and get a sufficient condition for a bipolar fuzzy graph to be the self weak complement bipolar fuzzy graph. Also we investigate relations between operations union, join, and complement on bipolar fuzzy graphs.